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-\frac{5}{3}x+60=y
Swap sides so that all variable terms are on the left hand side.
-\frac{5}{3}x=y-60
Subtract 60 from both sides.
\frac{-\frac{5}{3}x}{-\frac{5}{3}}=\frac{y-60}{-\frac{5}{3}}
Divide both sides of the equation by -\frac{5}{3}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-60}{-\frac{5}{3}}
Dividing by -\frac{5}{3} undoes the multiplication by -\frac{5}{3}.
x=-\frac{3y}{5}+36
Divide y-60 by -\frac{5}{3} by multiplying y-60 by the reciprocal of -\frac{5}{3}.