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