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-3x=y-4
Subtract 4 from both sides.
\frac{-3x}{-3}=\frac{y-4}{-3}
Divide both sides by -3.
x=\frac{y-4}{-3}
Dividing by -3 undoes the multiplication by -3.
x=\frac{4-y}{3}
Divide y-4 by -3.
y=4-3x
Swap sides so that all variable terms are on the left hand side.