To solve the expression \((-5x + 6y) - (9x - 8y)\), follow these steps:

1. Distribute the negative sign across the second group:
   \[
   -5x + 6y - 9x + 8y
   \]

2. Combine like terms:
   - Combine the \(x\)-terms: \(-5x - 9x = -14x\)
   - Combine the \(y\)-terms: \(6y + 8y = 14y\)

Thus, the simplified expression is:
\[
-14x + 14y
\]

Would you like further details or have any questions?

Here are 5 related questions:
1. How do you handle expressions with multiple variables?
2. What happens when distributing a negative across parentheses?
3. Can you combine terms with different variables, like \(x\) and \(y\)?
4. What would the result be if all the signs were reversed in the original expression?
5. How do you factor out common terms like \(-14x + 14y\)?

**Tip**: Always be careful with distributing negative signs—they can easily be missed and lead to errors!

Learn how to simplify the algebraic expression (-5x + 6y) - (9x - 8y) by distributing the negative sign and combining like terms. This step-by-step guide is ideal for students in Grades 7-9, covering key algebraic concepts such as simplification and the distributive property.

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