Given:
The pair of expressions in the options.
To find:
The two expressions are equivalent for any value of y.
Solution:
Two expressions are equivalent for any value of y, iff they are equivalent.


Clearly,
is not equivalent to
or
. So, options A and B are incorrect.



The expression
is not equivalent to
. So, option C is incorrect.
The expression
is equivalent to
.
Therefore, the correct option is D.