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Difficult

Playing With Absolute Values: Fractions

GMAT-ZFLHL7

Solve for $y$: $ \cfrac{1}{|y+\frac{7}{y}|}=\cfrac{y}{56} $

A

$7$

B

$-7$ or $7$

C

$ \sqrt{63} $ or $ -\sqrt{63} $

D

$7$ or $-7$ or $\sqrt{63} $ or $ -\sqrt{63} $

E

None of these answers are correct.