2016 2016 2016

Algebra Level 3

2016x+20162+20162++201622015 times2016y=2016\frac{2016^x+\underbrace{2016^2+2016^2+\ldots+2016^2}_{2015 \text{ times}}}{2016^y}=2016

where xx and yy are both positive integers

What is the value of x3y3+2016xy2016xy\dfrac{x^3-y^3+2016xy}{2016xy}?

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