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Given

\(\left ( \frac { x }{ y } +\frac { 1 }{ y } +1 \right) \left( \frac { y }{ x } -\frac { 1 }{ x } +1 \right) = 2\),

What is the value of \({ x }^{ 2 }+{ y }^{ 2 }\)?

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