Answer:
x=2, y=-3
Explanation:
This type of problems is called a system of equations, or simultaneous equations.
When solving simultaneous equations, you need to first make sure you have two unknown terms of the same number but different signs - this is so one unknown cancels out because we can only solve when there's one unknown. We already have this ('2y' and '-2y'). Now we just add the 'x's, the 'y's and the numbers:
2x+2y=-2
3x-2y=12
(2x+3x)+(2y-2y)=(-2+12)
5x=10
x=2
Now that we know the value of x, use it to find y:
2x+2y=-2
2(2)+2y=-2
4+2y=-2
2y=-6
y=-3