Let's simplify the given expression:

\[
(2x - 3y) - (8x + 6y + 4)
\]

### Step 1: Distribute the negative sign through the second set of parentheses:
\[
(2x - 3y) - 8x - 6y - 4
\]

### Step 2: Combine like terms:
- Combine the \(x\)-terms: \(2x - 8x = -6x\)
- Combine the \(y\)-terms: \(-3y - 6y = -9y\)
- The constant term is \(-4\)

### Final expression:
\[
-6x - 9y - 4
\]

This is the simplified form of the expression.

Do you want more details, or do you have any questions?

Here are five related questions:
1. What would happen if you substituted values for \(x\) and \(y\)?
2. How would you simplify an expression with more variables?
3. Can you solve an equation involving this expression?
4. How do you factor expressions like \( -6x - 9y \)?
5. How do you handle absolute value in algebraic expressions?

**Tip:** Always distribute negative signs carefully to avoid mistakes when simplifying expressions.

Learn how to simplify the algebraic expression (2x-3y)-(8x+6y+4) by distributing the negative sign and combining like terms. This problem is suitable for students in Grades 7-9, covering key algebraic concepts.

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