Step 1: Identify the required mathematical operations.
We need two operations here:
\[
\text{cube root of } x
\]
and
\[
\text{absolute value of } y
\]
Step 2: Recall the Java methods.
In Java, the cube root is found using \texttt{Math.cbrt(x)} and the absolute value is found using \texttt{Math.abs(y)}.
Step 3: Add both expressions.
Therefore, the required Java expression is:
\[
\texttt{Math.cbrt(x) + Math.abs(y)}
\]