Solve 2/sqrt{3}=2sqrt{3}y

$$\frac { 2 } { \sqrt { 3 } } = 2 \sqrt { 3 } y$$

Solve for y

$$y=\frac{1}{3}\approx 0.333333333$$

Steps for Solving Linear Equation

Rationalize the denominator of \frac{2}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$\frac{2\sqrt{3}}{\left(\sqrt{3}\right)^{2}}=2\sqrt{3}y$$

The square of \sqrt{3} is 3.

$$\frac{2\sqrt{3}}{3}=2\sqrt{3}y$$

Swap sides so that all variable terms are on the left hand side.

$$2\sqrt{3}y=\frac{2\sqrt{3}}{3}$$

Multiply both sides of the equation by 3.

$$6\sqrt{3}y=2\sqrt{3}$$

Divide both sides by 6\sqrt{3}.

$$\frac{6\sqrt{3}y}{6\sqrt{3}}=\frac{2\sqrt{3}}{6\sqrt{3}}$$

Dividing by 6\sqrt{3} undoes the multiplication by 6\sqrt{3}.

$$y=\frac{2\sqrt{3}}{6\sqrt{3}}$$

Divide 2\sqrt{3} by 6\sqrt{3}.

$$y=\frac{1}{3}$$