If \((5y + \frac{5}{y}) = 11\), find the value of \((y^2 + \frac{1}{y^2})\).

1
\(2\frac{21}{25}\)
2
\(1\frac{21}{25}\)
3
\(3\frac{21}{25}\)
4
\(4\frac{21}{25}\)

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