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5x=12y-32
Subtract 32 from both sides.
\frac{5x}{5}=\frac{12y-32}{5}
Divide both sides by 5.
x=\frac{12y-32}{5}
Dividing by 5 undoes the multiplication by 5.
12y=5x+32
Swap sides so that all variable terms are on the left hand side.
\frac{12y}{12}=\frac{5x+32}{12}
Divide both sides by 12.
y=\frac{5x+32}{12}
Dividing by 12 undoes the multiplication by 12.
y=\frac{5x}{12}+\frac{8}{3}
Divide 5x+32 by 12.