Let's simplify the given algebraic expression step by step:

The given expression is: $3x - 6y - 8 + 4y - 3x$

1. Combine like terms:

   • Combine the $x$ terms: $3x - 3x = 0$
   • Combine the $y$ terms: $-6y + 4y = -2y$

2. Rewrite the expression:

   • After combining like terms, the expression simplifies to: $-2y - 8$

So, the simplified expression is: $-2y - 8$

If there are multiple-choice options, select the one that matches this expression.

Would you like to explore this further or need any clarification? Here are some related questions:

1. How do you identify like terms in an algebraic expression?
2. What is the importance of simplifying algebraic expressions?
3. How do you factor out a common factor in an algebraic expression?
4. What are the steps to expand and simplify algebraic expressions?
5. Can you apply this simplification process to a quadratic expression?

Tip: Always group and simplify like terms first when working with algebraic expressions.