Speak about your class. Use everybody, not everybody, nobody

My class is full of amazing people. I think I could make friends with everybody in it. We have a lot of things in common with guys and it's interesting for me to communicate with them. For example, a lot of children in our class have pets, but not everybody. Someone doesn't have a cat or a dog because of allergy and someone - because his parents don't let him. But everybody in my class loves animal! I think I can't say about nobody that he's cruel or angry.