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2x+6=y
Add y to both sides. Anything plus zero gives itself.
2x=y-6
Subtract 6 from both sides.
\frac{2x}{2}=\frac{y-6}{2}
Divide both sides by 2.
x=\frac{y-6}{2}
Dividing by 2 undoes the multiplication by 2.
x=\frac{y}{2}-3
Divide y-6 by 2.
-y+6=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
-y=-2x-6
Subtract 6 from both sides.
\frac{-y}{-1}=\frac{-2x-6}{-1}
Divide both sides by -1.
y=\frac{-2x-6}{-1}
Dividing by -1 undoes the multiplication by -1.
y=2x+6
Divide -2x-6 by -1.