Am I Capable of Tricking Mr. Haussmann?

Calculus Level 5

\[x^9+x^8+2x^7+2x^6+2x^5+2x^4+2x^3+3x^2+x+1=0\]

Let \(y\) be the real root of the equation above. Find \(\lfloor |10000y| \rfloor \).

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