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