"Spoooooooky" Russian rational expressions 4

Algebra Level 2

E=5y21y2÷(111y) \mathscr{E } = \dfrac{5y^2}{1-y^2} \div \left( 1- \dfrac{1}{1-y} \right)

If y=2016 y = 2016 , and the value of E \mathscr{E} can be represented in the form ab -\dfrac{a}{b} , where aa and bb are coprime positive integers, find a+ba+b.


Credit: My former Trig teacher's worksheet of Russian rational expressions
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