To simplify the expression \((2x - 3y) - (8x + 6y + 4)\), follow these steps:

1. **Distribute the negative sign** across the second group:
   \[
   (2x - 3y) - 8x - 6y - 4
   \]

2. **Combine like terms**:
   - Combine the \(x\) terms: \(2x - 8x = -6x\)
   - Combine the \(y\) terms: \(-3y - 6y = -9y\)
   - The constant term remains: \(-4\)

So, the simplified expression is:
\[
-6x - 9y - 4
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you factor the expression \(-6x - 9y - 4\)?
2. What happens if you add \(10\) to the simplified expression?
3. How do you simplify \(2(3x - 4y) - 3(x + 2y)\)?
4. Can you explain the difference between like terms and unlike terms?
5. What are the steps to expand and simplify \( (x + 2)(x - 3) \)?

**Tip:** When simplifying expressions, always distribute any negative signs and combine like terms carefully to avoid mistakes.

Learn how to simplify the algebraic expression (2x-3y)-(8x+6y+4) by distributing the negative sign and combining like terms. This problem is ideal for students in Grades 6-8 and covers key concepts in algebra.

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