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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.