1. **State the problem:** Simplify the expression $8y + 6x - 4y$. 2. **Identify like terms:** Terms with the same variable can be combined. Here, $8y$ and $-4y$ are like terms, while $6x$ is separate. 3. **Combine like terms:** $$8y - 4y = (\cancel{8}y - \cancel{4}y) = 4y$$ 4. **Write the simplified expression:** $$4y + 6x$$ 5. **Final answer:** The simplified form of the expression is $4y + 6x$.