In order to determine the value of y, proceed as follow:
Multiply the first equation of the system by -2:
(-2)(2x + 2y = 2)
-4x - 4y = -4
Next, sum the previous equation to the second equation of the system:
-4x- 4y = -4
6x + 4y = 12
2x = 8
Solve for x in the previous equation:
2x = 8
x = 8/2
x = 4
Now, replace the previous value of x into any of the equations of the system, for instance, into the first one, and solve for y:
2x + 2y = 2
2(4) + 2y = 2
8 + 2y = 2
2y = 2 - 8
2y = -6
y = -6/2
y = -3
Hence, the value of y is -3