The number $n$ is doubled and then has $y$ added to it. The result is then divided by 2 and has the original number $n$ subtracted from it. The final result is
(A) $n$
(B) $y$
(C) $n+y$
(D) $\frac{n+y}{2}$
(E) $\frac{y}{2}$
When the number $n$ is doubled, $2 n$ is obtained.

When $y$ is added, $2 n+y$ is obtained.

When this number is divided by 2 , we obtain $\frac{1}{2}(2 n+y)=n+\frac{y}{2}$.

When $n$ is subtracted, $\frac{y}{2}$ is obtained.

ANSwER: (E)