Let $\alpha$ and $\beta$ be the roots of the equation $x^2+x+1=0$. Then for $y \neq 0$ in $R,\left|\begin{array}{ccc}y+1 & \alpha & \beta \\ \alpha & y+\beta & 1 \\ \beta & 1 & y+\alpha\end{array}\right|$ is equal to:
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