Dealing with a Blaming Mother

my mother keeps blaming me for everything bad that happens. I tried to tell her that what she says hurts me but she always says that she doesn't care. I'm the youngest out of 5 and I'm the only half sibling. all my other siblings have both the same parents while I only have the same mother. they were never treated like this but my mother has talked to me like this for as long as I can remember. it's becoming hard to cope and I'm running out of ideas. what should I do until I can move out?