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x-6=2y
Swap sides so that all variable terms are on the left hand side.
x=2y+6
Add 6 to both sides.
2y=x-6
The equation is in standard form.
\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.