3x + 2y = -26
4x - 5y = -4
To eliminate, we are going to cancel out the y
So multiply the first equation by 2.5, and you'll get
7.5x + 5y = -65
Add this equation to the second, and you'll get
11.5x = -69
Divide by 11.5 on both sides, and you get
x = -6
Now plug the -6 into the first equation, and you get
3(-6) + 2y = -26
Solve
-18 + 2y = -26
2y = -8
y = -4