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-10x=15-5y
Swap sides so that all variable terms are on the left hand side.
\frac{-10x}{-10}=\frac{15-5y}{-10}
Divide both sides by -10.
x=\frac{15-5y}{-10}
Dividing by -10 undoes the multiplication by -10.
x=\frac{y-3}{2}
Divide 15-5y by -10.
-5y=-10x-15
Subtract 15 from both sides.
\frac{-5y}{-5}=\frac{-10x-15}{-5}
Divide both sides by -5.
y=\frac{-10x-15}{-5}
Dividing by -5 undoes the multiplication by -5.
y=2x+3
Divide -10x-15 by -5.