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x-6=5y
Add 5y to both sides. Anything plus zero gives itself.
x=5y+6
Add 6 to both sides.
-5y-6=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
-5y=-x+6
Add 6 to both sides.
-5y=6-x
The equation is in standard form.
\frac{-5y}{-5}=\frac{6-x}{-5}
Divide both sides by -5.
y=\frac{6-x}{-5}
Dividing by -5 undoes the multiplication by -5.
y=\frac{x-6}{5}
Divide -x+6 by -5.