Question

$$2 \cdot y = \sqrt { 3 x - 2 }$$

Solve for y (complex solution)

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

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Solve for x

$x=\frac{4y^{2}+2}{3}$
$y\geq 0$

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Solve for y

$y=\frac{\sqrt{3x-2}}{2}$
$x\geq \frac{2}{3}$

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Solve for x (complex solution)

$x=\frac{4y^{2}+2}{3}$
$arg(y)<\pi \text{ or }y=0$