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\frac{2}{3}x+4=y
Swap sides so that all variable terms are on the left hand side.
\frac{2}{3}x=y-4
Subtract 4 from both sides.
\frac{\frac{2}{3}x}{\frac{2}{3}}=\frac{y-4}{\frac{2}{3}}
Divide both sides of the equation by \frac{2}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-4}{\frac{2}{3}}
Dividing by \frac{2}{3} undoes the multiplication by \frac{2}{3}.
x=\frac{3y}{2}-6
Divide y-4 by \frac{2}{3} by multiplying y-4 by the reciprocal of \frac{2}{3}.