Unlike the first time at the sacrificial rodeo, the instructions in chapters 6 and 7 put the peace offering last. That's because it's special.
The big news: the person who brings a peace offering can eat it.
There are, of course, conditions. For example, the offering must be eaten on the day of the sacrifice or the day afterward. Eating leftover sacrifice on the third day is not cool—or in the language of Leviticus, tamei, which is usually translated as unclean or an abomination.
Also, ixnay on the eatmay if it touches anything unclean or if you happen to be unclean at the time yourself.
So again, what's unclean? Patience, young Padawan, all shall be revealed. Sort of.
Don't eat the fat or blood. Seriously.
The fat from animals that die on their own or are killed by other animals can be used for other purposes besides eating. That said, using animal fat for stuff that touches the body, such as soap or perfume, remains the subject of heated debate.
Peace offerings can be made for various reasons: giving thanks, making a vow, and of course, giving a contribution to the priests.
The priests also get dibs on the breast and right shoulder meat from every peace offering. The breast is waved and the shoulder is heaved, which sounds more like a scene from rated-X Leviticus het than an actual law.
Well, God says, I AM outta here. The end. Roll credits. This is the law of the offering of this and the offering of that, which Moses commanded in Mount Sinai on an extra-special day. No extra scene. Lots of animals were hurt in the making of this production.