Answer:
y = 2
Explanation:
4x - 3y = -18, then 4x = 3y - 18, x = (3y - 18)/4
6x + 7y = -4
substitute for x:
6((3y - 18)/4) + 7y = -4
(18y - 108)/4 + 7y = -4
4.5y - 27 + 7y = -4
combine like terms:
11.5y = 23
y = 2
check:
x = (3(2) - 18)/4 = -12/4 = -3
6(-3) + 7(2) = -4
-18 - 14 - -4
-4 = -4
so y = 2 is correct