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-NIntegrate[(E^-(1-y)^2 y (1+1/2 (-1-Erf[y/Sqrt[2]])))/(2 \[Pi]), {y,-Infinity,Infinity}]
-NIntegrate[(E^-(1-y)^2 y (1+1/2 (-1-Erf[y/Sqrt[2]])))/(2 \[Pi]), {y,-Infinity,Infinity}]
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