"Spoooooooky" Russian rational expressions 4

Algebra Level 2

\[ \mathscr{E } = \dfrac{5y^2}{1-y^2} \div \left( 1- \dfrac{1}{1-y} \right) \]

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


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