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Math·Advanced Math·Equivalent expressions

hard

$\frac{1}{4xy}+xyz=\frac{1}{3yz}$

In the given equation, $x$, $y$, and $z$ are positive numbers. Which expression is equivalent to $y$?

A

$\frac{\sqrt{4x-3z}}{12x^2{z}^2}$

B

$\frac{4x-3z}{12x^2{z}^2}$

C

$\frac{\sqrt{4x-3z}}{2xz\sqrt{3}}$

D

$\frac{\sqrt{4x+3z}}{2xz\sqrt{3}}$