What is the y value in the solution to this system of linear equations?

4 х + 5y=-12

2 х + Зу = - 16

The y-value is - 20

Step-by-step explanation:

So let's solve this by Elimination method;

-2 (4x + 5y = - 12)

4 (2x + 3y = - 16)

Let's Distribute;

-8x - 10y = 24

8x + 12y = - 64

So x cancels out because - 8 + 8 = 0

-10y + 12y = 2y

24 - 64 = - 40

2y = - 40

Divide both sides by 2;

y = - 20

Now lets plug in y to find the value of x;

4x + 5 (-20) = - 12

4x - 100 = - 12

Add 100 to both sides;

4x = 88

Divide both sides by 4;

x = 22