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\frac{9}{5}x+32=y
Swap sides so that all variable terms are on the left hand side.
\frac{9}{5}x=y-32
Subtract 32 from both sides.
\frac{\frac{9}{5}x}{\frac{9}{5}}=\frac{y-32}{\frac{9}{5}}
Divide both sides of the equation by \frac{9}{5}, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-32}{\frac{9}{5}}
Dividing by \frac{9}{5} undoes the multiplication by \frac{9}{5}.
x=\frac{5y-160}{9}
Divide y-32 by \frac{9}{5} by multiplying y-32 by the reciprocal of \frac{9}{5}.