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-x-8x-12=y
Swap sides so that all variable terms are on the left hand side.
-x-8x=y+12
Add 12 to both sides.
-9x=y+12
Combine -x and -8x to get -9x.
\frac{-9x}{-9}=\frac{y+12}{-9}
Divide both sides by -9.
x=\frac{y+12}{-9}
Dividing by -9 undoes the multiplication by -9.
x=-\frac{y}{9}-\frac{4}{3}
Divide y+12 by -9.
y=-9x-12
Combine -x and -8x to get -9x.