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\sqrt{3}x-4=y
Swap sides so that all variable terms are on the left hand side.
\sqrt{3}x=y+4
Add 4 to both sides.
\frac{\sqrt{3}x}{\sqrt{3}}=\frac{y+4}{\sqrt{3}}
Divide both sides by \sqrt{3}.
x=\frac{y+4}{\sqrt{3}}
Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.
x=\frac{\sqrt{3}\left(y+4\right)}{3}
Divide y+4 by \sqrt{3}.