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-9x-6=y
Swap sides so that all variable terms are on the left hand side.
-9x=y+6
Add 6 to both sides.
\frac{-9x}{-9}=\frac{y+6}{-9}
Divide both sides by -9.
x=\frac{y+6}{-9}
Dividing by -9 undoes the multiplication by -9.
x=-\frac{y}{9}-\frac{2}{3}
Divide y+6 by -9.