Algebra Level 5

$\frac{1}{\sqrt{2016x-\sqrt{2016x}}}-\frac{1}{\sqrt{2016x+\sqrt{2016x}}} = \frac{1}{\sqrt{2016x-1}}$

If the sum of all real root(s) of the above equation is of the form $$\large \frac{1}{y}$$.

Find $$y$$.

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