If \(\rm \left(4y-\frac{4}{y}\right)=11\), find the value of \(\rm \left(y^2+\frac{1}{y^2}\right)\).

1
\(7\frac{9}{16}\)
2
\(5\frac{9}{16}\)
3
\(9\frac{11}{16}\)
4
\(9\frac{9}{16}\)

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