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

A

$$2\frac{21}{25}$$

B

$$1\frac{21}{25}$$

C

$$3\frac{21}{25}$$

D

$$4\frac{21}{25}$$