What's x/y?

Algebra Level 3

\[\sqrt{12 + 2\sqrt{15} + 4 \sqrt{5} + 4 \sqrt{3}} = x + \sqrt{y} + \sqrt{3} \]

If \(x\) and \(y\) are positive integers that satisfy the above equation, then find the value of \(\dfrac{x}{y}\) .

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