$$\frac{3}{4}x=\frac{1}{2}y$$
$x=\frac{2y}{3}$
$$\frac{3}{4}x=\frac{y}{2}$$
$$\frac{\frac{3}{4}x}{\frac{3}{4}}=\frac{y}{\frac{3}{4}\times 2}$$
$$x=\frac{y}{\frac{3}{4}\times 2}$$
$$x=\frac{2y}{3}$$
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$y=\frac{3x}{2}$
$$\frac{1}{2}y=\frac{3}{4}x$$
$$\frac{1}{2}y=\frac{3x}{4}$$
$$\frac{\frac{1}{2}y}{\frac{1}{2}}=\frac{3x}{\frac{1}{2}\times 4}$$
$$y=\frac{3x}{\frac{1}{2}\times 4}$$
$$y=\frac{3x}{2}$$