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y-5=\frac{4}{3}x-\frac{8}{3}
Use the distributive property to multiply \frac{4}{3} by x-2.
\frac{4}{3}x-\frac{8}{3}=y-5
Swap sides so that all variable terms are on the left hand side.
\frac{4}{3}x=y-5+\frac{8}{3}
Add \frac{8}{3} to both sides.
\frac{4}{3}x=y-\frac{7}{3}
Add -5 and \frac{8}{3} to get -\frac{7}{3}.
\frac{\frac{4}{3}x}{\frac{4}{3}}=\frac{y-\frac{7}{3}}{\frac{4}{3}}
Divide both sides of the equation by \frac{4}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-\frac{7}{3}}{\frac{4}{3}}
Dividing by \frac{4}{3} undoes the multiplication by \frac{4}{3}.
x=\frac{3y-7}{4}
Divide y-\frac{7}{3} by \frac{4}{3} by multiplying y-\frac{7}{3} by the reciprocal of \frac{4}{3}.
y-5=\frac{4}{3}x-\frac{8}{3}
Use the distributive property to multiply \frac{4}{3} by x-2.
y=\frac{4}{3}x-\frac{8}{3}+5
Add 5 to both sides.
y=\frac{4}{3}x+\frac{7}{3}
Add -\frac{8}{3} and 5 to get \frac{7}{3}.