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