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2\sqrt{3}x=\sqrt{3}y
The equation is in standard form.
\frac{2\sqrt{3}x}{2\sqrt{3}}=\frac{\sqrt{3}y}{2\sqrt{3}}
Divide both sides by 2\sqrt{3}.
x=\frac{\sqrt{3}y}{2\sqrt{3}}
Dividing by 2\sqrt{3} undoes the multiplication by 2\sqrt{3}.
x=\frac{y}{2}
Divide y\sqrt{3} by 2\sqrt{3}.
y\sqrt{3}=2x\sqrt{3}
Swap sides so that all variable terms are on the left hand side.
\sqrt{3}y=2\sqrt{3}x
The equation is in standard form.
\frac{\sqrt{3}y}{\sqrt{3}}=\frac{2\sqrt{3}x}{\sqrt{3}}
Divide both sides by \sqrt{3}.
y=\frac{2\sqrt{3}x}{\sqrt{3}}
Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.
y=2x
Divide 2x\sqrt{3} by \sqrt{3}.