And we thought binomial is harmless

Algebra Level 4

What is the constant term in the expansion of \[ \Bigg( \frac{y+1}{y^{\frac{2}{3}}-y^{\frac{1}{3}}+1} - \frac{y-1}{y-y^{\frac{1}{2}}} \Bigg)^{10} ? \]

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