How to substitution math work

Well lets just we have

2x-3y=-2

4x+y=24

Well first we see we have "Y'" by itself which is great that means we can use substitution. So now we just set "Y"by itself. So subtract 4x on both sides and we get

y = - 4x+24 now we just plug "Y" into the first equation

2x-3 (-4x+24) = - 2

Distribute the 3 and simplify and we get x=5

Plug (5) back into either top or bottom equations

4 (5) + y=24

20+y=24

y=4