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3x=4y
Multiply both sides of the equation by 36, the least common multiple of 12,9.
\frac{3x}{3}=\frac{4y}{3}
Divide both sides by 3.
x=\frac{4y}{3}
Dividing by 3 undoes the multiplication by 3.
3x=4y
Multiply both sides of the equation by 36, the least common multiple of 12,9.
4y=3x
Swap sides so that all variable terms are on the left hand side.
\frac{4y}{4}=\frac{3x}{4}
Divide both sides by 4.
y=\frac{3x}{4}
Dividing by 4 undoes the multiplication by 4.