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2x+7=y
Add y to both sides. Anything plus zero gives itself.
2x=y-7
Subtract 7 from both sides.
\frac{2x}{2}=\frac{y-7}{2}
Divide both sides by 2.
x=\frac{y-7}{2}
Dividing by 2 undoes the multiplication by 2.
-y+7=-2x
Subtract 2x from both sides. Anything subtracted from zero gives its negation.
-y=-2x-7
Subtract 7 from both sides.
\frac{-y}{-1}=\frac{-2x-7}{-1}
Divide both sides by -1.
y=\frac{-2x-7}{-1}
Dividing by -1 undoes the multiplication by -1.
y=2x+7
Divide -2x-7 by -1.