I presume that you meant "what does y equal when".
4y + 8x = 16
Subtract 8x from both sides:
4y = 16 - 8x
Divide both sides by 4:
y = 4 -2x
If x = -2,
y = 4 - 2(-2) = 4 + 4 = 8
If x = 3,
y = 4 - 2(3) = -2.
You can (and should!) substitute these values back and see that they are the correct solutions. If the are, then the equation 4y + 8y = 16 will hold true.