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x-3=5y
Add 5y to both sides. Anything plus zero gives itself.
x=5y+3
Add 3 to both sides.
-5y-3=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
-5y=-x+3
Add 3 to both sides.
-5y=3-x
The equation is in standard form.
\frac{-5y}{-5}=\frac{3-x}{-5}
Divide both sides by -5.
y=\frac{3-x}{-5}
Dividing by -5 undoes the multiplication by -5.
y=\frac{x-3}{5}
Divide -x+3 by -5.