Find the solution of this system of equations?

-8x-6y=60

5x+6y=-69

First subtract the x variable on both sides so on the first equation youll have -6y=8x+60 then divide 6 on all variables which means youll have y=8/6x+10 and in the second equation you do the same thing and youll have y=-5/6x-11.5

Divide -8x by -8 which leaves you with x and you have to do it to both sides so divide 60 by -8 which leaves you with -7.5
and continue doing all algebraic equations that way following the two rules:
1) to get rid of a number do its opposite
2)whatever you do to one side do to the other