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100y=50x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
50x=100y
Swap sides so that all variable terms are on the left hand side.
\frac{50x}{50}=\frac{100y}{50}
Divide both sides by 50.
x=\frac{100y}{50}
Dividing by 50 undoes the multiplication by 50.
x=2y
Divide 100y by 50.
x=2y\text{, }x\neq 0
Variable x cannot be equal to 0.
100y=50x
Multiply both sides of the equation by x.
\frac{100y}{100}=\frac{50x}{100}
Divide both sides by 100.
y=\frac{50x}{100}
Dividing by 100 undoes the multiplication by 100.
y=\frac{x}{2}
Divide 50x by 100.