As Lydia said, apologize to her and do what you need to mend the relationship. Sometimes you have to make a sacrifice to ensure you live your best life. It isn't fair, but sometimes it is the best choice one can make.
Perhaps you can write an apology letter to your mother, purchase a gift for her that shows your sincerity, and write in that letter too how you will do your best to participate taking care of the chores at home, to not be a burden to her when you live with her again. Acknowledge your fault and do not put blame on her, even if she really is to blame for things.
This is a moment where making such a concession is more beneficial to you than trying to stick up for your own justice and feelings.
Deliver it to her yourself if you can, and ask her to please accept it and read it through.
Give her some time to come around and probe carefully how she feels and if she agrees to take you back in.
Last but not least, it may be better to go to college anyway, even if you feel down. Go there and do your best, to show to your mother as well that you know what is important for you.
It will also help you be out of your grandma's house which sounds like an awful place to be. Get a change in environment, and have a chance to put your mind of these things so you can calm your emotions as well.
Use your commute to and from college as an opportunity to meditate and clean your soul well, and also to buy gifts for your mother and to deliver the letter.
This is how I would personally try to mend this. Try to meditate on your mother's aura as well when outside on your commute from college (find a park somewhere or a quiet place where you can softly vibrate runes), using the Wunjo rune.
Do Void meditation as much as possible to quell your emotions and worries about this, so you prevent these from causing depression or inaction, know what you need to do and focus on resolving these issues rather than mulling over what happened and how awful your current situation is.
Things only get better by moving forward and taking the right actions. This is often difficult to do when you just experienced something like this, and are in such a shit situation, but it is especially important to do this now to get out of this shit as fast as possible and mend the conflicts and problems these have caused for you.
After that you could try to look into a possibility to move out and start living on your own, but be careful with this as it may be financially impossible if you still study, not to mention it puts a lot of extra responsibilities on you as you need to take care of all your daily necessities yourself at that time.
Good luck!
HAIL ZEUS!
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