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-4x=6-2y
Subtract 2y from both sides.
\frac{-4x}{-4}=\frac{6-2y}{-4}
Divide both sides by -4.
x=\frac{6-2y}{-4}
Dividing by -4 undoes the multiplication by -4.
x=\frac{y-3}{2}
Divide 6-2y by -4.