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