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