Select all expressions that are equivalent to $$\displaystyle y + \frac{y}{2} + \frac{2}{y}.$$ There may be more than one correct answer.

A. $\displaystyle \frac{2y + 2}{2 + y}$

B. $\displaystyle \frac{3 y}{2} + \frac{2}{y}$

C. $\displaystyle \frac{y^2 + 4}{2 y }$

D. $\displaystyle \frac{3 y^2 + 4}{2 y}$

E. $\displaystyle y + 2$