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2x-6=y
Add y to both sides. Anything plus zero gives itself.
2x=y+6
Add 6 to 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
Add 6 to both sides.
-y=6-2x
The equation is in standard form.
\frac{-y}{-1}=\frac{6-2x}{-1}
Divide both sides by -1.
y=\frac{6-2x}{-1}
Dividing by -1 undoes the multiplication by -1.
y=2x-6
Divide -2x+6 by -1.