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2x-6=y
Swap sides so that all variable terms are on the left hand side.
2x=y+6
Add 6 to 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.