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