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-\frac{7}{3}x+4=y
Swap sides so that all variable terms are on the left hand side.
-\frac{7}{3}x=y-4
Subtract 4 from both sides.
\frac{-\frac{7}{3}x}{-\frac{7}{3}}=\frac{y-4}{-\frac{7}{3}}
Divide both sides of the equation by -\frac{7}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-4}{-\frac{7}{3}}
Dividing by -\frac{7}{3} undoes the multiplication by -\frac{7}{3}.
x=\frac{12-3y}{7}
Divide y-4 by -\frac{7}{3} by multiplying y-4 by the reciprocal of -\frac{7}{3}.