To combine like terms in the expression \(2y + 6wx^3 + 2wx^3 - 8wx^3\), we will focus on the terms that contain \(wx^3\).
First, let's combine the \(wx^3\) terms: \[ 6wx^3 + 2wx^3 - 8wx^3 = (6 + 2 - 8)wx^3 = 0wx^3 = 0 \]
This means that the terms with \(wx^3\) cancel each other out.
Now, we are left with just the remaining term: \[ 2y \]
Therefore, the simplified expression is: \[ \boxed{2y} \]