6x-3y = -6 and -5x + 7y = 41

I got stuck on this problem and my answers are outrageous so please help?

from the first equation,

y = 2x+2

put that into the 2nd equation to get

-5x + 7(2x+2) = 41
-5x + 14x + 14 = 41
9x = 27
x = 3
so
y = 8