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