-2x + y = 8
3x + y = -2
in this case solve either equation for y (it is easier)
so -2x + y = 8 is equivalent to y = 2x + 8
then substitute 2x + 8 into the 2ns equation for y
3x + (2x + 8) = -2
combine like terms on the left 5x + 8 = -2
subtract 8 from both sides 5x = -10
divide both sides by 5 and x = -2
now substitute x = -2 into either equation to get y
(-2)(-2) + y = 8
4 + y = 8 so y = 4
final answer (-2,4)