The TLDR is you didn’t want to do the work. It’s called earning a degree for a reason.
“I don’t need to go to class or take exams to learn the material” shows a serious failure to understand the point of having professors and classes. If you were able to learn it all on your own, professors wouldn’t exist.
Frankly, they won’t want excuses as to what happened. They only care that it won’t happen again. Your appeal has little chance of working if you don’t show them what steps you will be taking to succeed. Are you in therapy? Are you reading the books, going to class, doing the work? Are you planning to go to professor office hours, the tutoring center, study groups? Are you going to alter your social life or work schedule to accommodate the necessary time need to devote to studying? Without providing evidence of those things, it’s going to be tough to get readmitted.
You need to be specific: I plan to go to office hours every Thursday afternoon…I plan to visit the tutoring center each Tuesday from 3-5 for stats tutoring…etc… SHOW them you are committed to succeeding. Good luck.