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13x=84y
Multiply both sides of the equation by 2y.
\frac{13x}{13}=\frac{84y}{13}
Divide both sides by 13.
x=\frac{84y}{13}
Dividing by 13 undoes the multiplication by 13.
13x=84y
Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2y.
84y=13x
Swap sides so that all variable terms are on the left hand side.
\frac{84y}{84}=\frac{13x}{84}
Divide both sides by 84.
y=\frac{13x}{84}
Dividing by 84 undoes the multiplication by 84.
y=\frac{13x}{84}\text{, }y\neq 0
Variable y cannot be equal to 0.