No. 111!

Algebra Level 5

If

y=1111y4+y2+1y4+y=ab\color{#69047E}{\huge{\displaystyle\sum_{y=1}^{111}\dfrac{y^4+y^2+1}{y^4+y}}=\dfrac{a}{b}}.

Find the value of (a+b)×111(a+b)\times 111.

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