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\frac{1}{2}x+1=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}x=y-1
Subtract 1 from both sides.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y-1}{\frac{1}{2}}
Multiply both sides by 2.
x=\frac{y-1}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=2y-2
Divide y-1 by \frac{1}{2} by multiplying y-1 by the reciprocal of \frac{1}{2}.