Trigonometry's power

Geometry Level 4

\[\large \begin{cases}\log_{(192\cos{x})}(192\sin{x}) =\dfrac{4}{5} \\ y = 32(\cot^{4}x-1) \end{cases} \]

Let \(x\) (\(0\leq x\leq\pi\)) and \(y\) be positive real numbers satisfying the system of equations above, enter your answer as the value of \(y\).

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