Solve the first equation for y.
2x - y = -2
2x = y - 2
2x + 2 = y
Replace y in the second equation with 2x + 2
3x + 2(2x + 2) = -10
3x + 4x + 4 = -10
7x + 4 = -10
7x = -14
x = -2
Plug this value of x into either equation to solve for y.
2x - y = -2
2(-2) - y = -2
-4 - y = -2
-y = 2
y = -2