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

4x + 5y = −12

-2x + 3y = −16

−4
−2
2
5

-4 because:
you would start by isolating one of the variables, either x or y. in this case, i chose to isolate the x in the second equation. so we started with:
-2x+3y=-16
add 2x to both sides so
3y=2x-16
add 16 to both sides so:
3y+16=2x
divide both sides by 2 so:
x=1.5y+8
now plug this value for x into the first equation in the place of x so:
4(1.5y+8)+5y=-12
simplify some so:
6y+32+5y=-12
combine like terms and then subract 32 from each side. so:
11y=-44
divide both sides by 11. so:
y=-4
then you need to solve furter to check your answer to be sure. if you would like to know how, let me know, but stopping right there, i have already solved furtherto check andthat is the answer.
y = -4

Ican't do any of the other stuff, but i can get you started. the answer, i believe, is $2.50.