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9y+1=x
Swap sides so that all variable terms are on the left hand side.
9y=x-1
Subtract 1 from both sides.
\frac{9y}{9}=\frac{x-1}{9}
Divide both sides by 9.
y=\frac{x-1}{9}
Dividing by 9 undoes the multiplication by 9.