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10x=5y
Swap sides so that all variable terms are on the left hand side.
\frac{10x}{10}=\frac{5y}{10}
Divide both sides by 10.
x=\frac{5y}{10}
Dividing by 10 undoes the multiplication by 10.
x=\frac{y}{2}
Divide 5y by 10.