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5x=5y+15
Swap sides so that all variable terms are on the left hand side.
\frac{5x}{5}=\frac{5y+15}{5}
Divide both sides by 5.
x=\frac{5y+15}{5}
Dividing by 5 undoes the multiplication by 5.
x=y+3
Divide 15+5y by 5.
5y=5x-15
Subtract 15 from both sides.
\frac{5y}{5}=\frac{5x-15}{5}
Divide both sides by 5.
y=\frac{5x-15}{5}
Dividing by 5 undoes the multiplication by 5.
y=x-3
Divide -15+5x by 5.