You don't hate your mom, you just being over-dramatic. You just want to be independent like anyone your age. Sure, mom has some negative attributes, but you know what? You do too. Living with you is no bed of roses too. But despite that your Mom welcomes you to stay. And I bet if you think about it, you can think of a few nice things about her too. And if you focus on her positives as much as her negatives, she won't be so evil in your mind allowing you to better coexist with her.
in the mean time think about your priorities. What is most important to you now. Then realize there are no rules that you must go to university now. You are free to get a job and move out now, then go to university later. I am not suggesting that is the best method, but sometimes being on your own for a year can help you understand life better that what seems bad is actually not nearly as awful as you think. But something tells me that you already understand this and know that your parents allowing you to live at home is a huge opportunity that shouldn't be taken for granted. That the truth is that you are just venting your frustration. That while difficult at times, it is bearable. That simply by doing what is asked of you by your parents, and staying out of sight of your Mother, taking away her ability to yell at you is a far better answer than leaving.