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