The procedure for sacrificing peace-offerings of sheep is the same as that for those of cattle, except that an additional type of fat is included in the portion burned up on the Altar, as follows:
If his sacrifice is a peace-promoting feast-offering to God from the flock, the animal must be either male or female; he may not bring a hermaphrodite or an animal of unknown gender. He must bring it unblemished.
Leviticus 3:7-15
If he brings a sheep as his sacrifice, then after he designates the animal, he must bring it to the entrance of the Tent of Meeting, thus being considered to have presented it before God.
He must then lean his hand forcefully upon the head of his sacrifice and slaughter it in front of the Tent of Meeting, i.e., anywhere within the precincts of the Courtyard of the Tabernacle. Those of Aaron’s descendants who are priests—i.e., who have not been demoted from the priesthood—must receive the blood in a consecrated vessel; bring the vessel containing the blood to the Altar; and, while standing on the ground next to the Altar, dash the blood upon the northwest and southeast corners of the Altar such that the blood can be considered to be encircling the Altar.
He must bring a fire-offering to God from the peace-offering, consisting of the following eight parts of the animal that must be burned up on the Altar: (1) he must remove its choicest part: the entire fatty tail beginning at the kidneys; (2) the fat covering the innards, i.e., on the omasum and the reticulum; (3) all the fat that is on the innards, i.e., on the abomasum (or alternatively, on the small intestine); (4) the two kidneys along with (5) the fat that is on them, (6) and the fat that is on the flanks. He must also remove (7) the diaphragm, along with the kidneys—as stated—and along with (8) part of the liver.
The priest must burn up these eight parts of the animal on the Altar, as food for the fire, to God.
The procedure for sacrificing peace-offerings of goats is the same as that for those of sheep, except that the tail is not included among the parts burned up on the Altar, as follows:
If his sacrifice is a goat, then after he designates the animal, he must bring it to the entrance of the Tent of Meeting, thus being considered to have presented it before God.
He must lean his hand forcefully upon its head and slaughter it in front of the Tent of Meeting, i.e., anywhere within the precincts of the Courtyard of the Tabernacle. Aaron’s descendants who are priests, i.e., who have not been disqualified from the priesthood on account of the circumstances of their birth or marriage—must receive the blood in a consecrated vessel; bring the vessel containing the blood to the Altar; and, while standing on the ground next to the Altar, dash the blood upon the northwest and southeast corners of the Altar such that the blood can be considered to be encircling the Altar.
He must bring from it his offering—a fire-offering to God—consisting of the following seven parts of the animal that must be burned up on the Altar: (1) the fat covering the innards, i.e., on the omasum and the reticulum; (2) all the fat that is on the innards, i.e., on the abomasum (or alternatively, on the small intestine); (3) the two kidneys along with (4) the fat that is on them, (5) and the fat that is on the flanks. He must also remove (6) the diaphragm, along with the kidneys—as stated—along with (7) part of the liver.
The priest must burn up these seven parts of the animal on the Altar, as food for the fire, with the intention that it be pleasing to God. All sacrificial fat belongs to God.
The rule that all fat included in the prescribed fire-offering belongs to God is an eternal rule, which will apply in all your generations—even when you enter the Land of Israel and are allowed to consume meat without first bringing the animal as a peace-offering, and even in those times when the Tabernacle (or its successor, the Temple) is not standing and fat and blood are not used for sacrifices—and in all your habitations, even outside the Land of Israel, where sacrifices are not offered up. In all these cases, you must consume neither any sacrificial fat nor any blood.
The remainder of the laws concerning peace-offerings will be given later.