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\sqrt{3}+\frac{1}{2}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{1}{2}x=y-\sqrt{3}
Subtract \sqrt{3} from both sides.
\frac{\frac{1}{2}x}{\frac{1}{2}}=\frac{y-\sqrt{3}}{\frac{1}{2}}
Multiply both sides by 2.
x=\frac{y-\sqrt{3}}{\frac{1}{2}}
Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.
x=2y-2\sqrt{3}
Divide y-\sqrt{3} by \frac{1}{2} by multiplying y-\sqrt{3} by the reciprocal of \frac{1}{2}.