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