$$\frac{4}{3}x=2y$$
$x=\frac{3y}{2}$
$$\frac{\frac{4}{3}x}{\frac{4}{3}}=\frac{2y}{\frac{4}{3}}$$
$$x=\frac{2y}{\frac{4}{3}}$$
$$x=\frac{3y}{2}$$
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$y=\frac{2x}{3}$
$$2y=\frac{4}{3}x$$
$$2y=\frac{4x}{3}$$
$$\frac{2y}{2}=\frac{4x}{2\times 3}$$
$$y=\frac{4x}{2\times 3}$$
$$y=\frac{2x}{3}$$