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3y=10x\times 3
Multiply both sides of the equation by 5.
3y=30x
Multiply 10 and 3 to get 30.
30x=3y
Swap sides so that all variable terms are on the left hand side.
\frac{30x}{30}=\frac{3y}{30}
Divide both sides by 30.
x=\frac{3y}{30}
Dividing by 30 undoes the multiplication by 30.
x=\frac{y}{10}
Divide 3y by 30.
3y=10x\times 3
Multiply both sides of the equation by 5.
3y=30x
Multiply 10 and 3 to get 30.
\frac{3y}{3}=\frac{30x}{3}
Divide both sides by 3.
y=\frac{30x}{3}
Dividing by 3 undoes the multiplication by 3.
y=10x
Divide 30x by 3.