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9x+6=y
Swap sides so that all variable terms are on the left hand side.
9x=y-6
Subtract 6 from 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.