Answer
$y$ is NOT a function of $x$
Work Step by Step
Solve for $y$ in terms of $x$ to obtain:
$\begin{array}{ccc}
&2x+|y| &= &0
\\&2x+|y| - 2x &= &0-2x
\\&|y| &= &-2x
\end{array}$
RECALL:
$|x|=a \longrightarrow x = a \text{ or } x = -a$
Use the definition of absolute value to obtain:
$|y| = -2x \longrightarrow y = -2x \text{ or } y = 2x$
This means that for every value of $x$, there corresponds two different values of $y$.
Thus, the given equation does not represent $y$ as a function of $x$.
