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If \(y=\frac { \sqrt [ 3 ]{ p+1 } +\sqrt [ 3 ]{ p-1 } }{ \sqrt [ 3 ]{ p+1 } -\sqrt [ 3 ]{ p-1 } }\), find the value of \({ y }^{ 3 }-3p{ y }^{ 2 }+3y-p\).

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