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6x+6=y
Swap sides so that all variable terms are on the left hand side.
6x=y-6
Subtract 6 from both sides.
\frac{6x}{6}=\frac{y-6}{6}
Divide both sides by 6.
x=\frac{y-6}{6}
Dividing by 6 undoes the multiplication by 6.
x=\frac{y}{6}-1
Divide y-6 by 6.