Moving out (read description)

A little more about me: my father has Frontal Temporal Lobe Dementia which is a degenerating brain disease that is slowly killing him. He's not expected to even live much longer. It's been this way for a few years now so I have accepted it. 

With that being said I have 2 siblings a sister whose 28 and in Florida and a brother whose 26 and recently lived with us to help take care of dad but he ran off and decided to leave my mom and I high and dry. I stayed home from college to help take care of my dad even though I had an academic scholarship of 36,000$ to my dream school but I didn't go. Now I have a full time job and pay for a sitter to watch my dad so mom and I can both work. 

So my question to you ladies is should I move out? I want to so bad. I want to be independent and free of my mother (she is VERY controlling) and my brother and sister dipped out and I stayed behind and put my life on hold for 3 years to help the family and my brother couldn't even stick around so I could continue school at our local community college (so shitty..)

So why can't I just leave and let them figure it out like I had to? They got to go to college and get away. I've been trapped at home my whole life.