I hate my mom's boyfriend
I'm curious as to what makes you hate your mom's boyfriend?
Because he makes my mom cry and he yells at her.
Well he for sure should not be yelling at her all the time. You should not hate him just for that though, hate is such a strong word.
I'm going to show my mom that I'm an adult now and I can live by myself.
It is good to move out on your own, and I am sure that this will make your relationship with your mother stronger. Maybe after a while, this time apart will even make you not hate her boyfriend anymore which could be a huge positive.