Answer
$y$ is a function of $x$
Work Step by Step
Solve for $y$ in terms of $x$ to obtain:
$\begin{array}{ccc}
&2|x|+y &= &0
\\&2|x| + y - 2|x| &= &0-2|x|
\\&y &= &-2|x|
\end{array}$
The last equation above will give one value of $y$ for each value of $x$.
Thus, the equation represents $y$ as a function of $x$.
