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