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x+1=2y
Swap sides so that all variable terms are on the left hand side.
x=2y-1
Subtract 1 from both sides.
2y=x+1
The equation is in standard form.
\frac{2y}{2}=\frac{x+1}{2}
Divide both sides by 2.
y=\frac{x+1}{2}
Dividing by 2 undoes the multiplication by 2.