First you would have to cancel out one part of the equation to get on variable alone. In this case it's easy it would be -4x and 4x. So then you would cancel those out.
Now we have
-2y= -12 8y =-24
so then you just add them all up
6y=-36
Next you just divide both sides by 6 so then you answer for y would be -6.
Next you would choose one of your equations and plug the -6 in.
So it would be
-4x -2 (-6) =-24
So you would times negative 2 by negative 6, which would be positive 12. Since a negative times a negative equales a positive.
-4x + 12= -24
Next you would minus 12 on both sides.
-4x + 12=-24 - 12 = -12
The 12's would cancel out and then you just minus -24 by -12 which you would ended up just plusing them together because a negative plus a negative equales a negative. Or a negative minus a negative number would end up adding them up.
-4x= -36
Next you would get x alone and how you would do that is you would divide -4 in both sides which would cancel them -4 out then it would be divided by -36.
So it would look like this.
-4x= -36 -4 -4
So negative 36 divided by negative 4 is 9.
So your final answer would be
y= -6 x= 9
I hope I explained to you properly how to do systems of equations by elimination.
