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Geometry Level 4

Let \(e\) be the eccentricity of the curve \(0.44444x^2 - 5.33333x + 16 = 8y - y^2\). Then, what is the value of \(9.8\lfloor e\rfloor\)?

Notation: \(\lfloor \cdot \rfloor\) denotes the floor function.

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