Let's simplify the given expression:

\[
(5x - 4y) - (3x - 7y)
\]

Step 1: Distribute the negative sign to both terms inside the second parentheses:

\[
= 5x - 4y - 3x + 7y
\]

Step 2: Combine like terms:

- \(5x - 3x = 2x\)
- \(-4y + 7y = 3y\)

So the simplified expression is:

\[
2x + 3y
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you solve expressions involving multiple variables?
2. Can you apply the distributive property to more complex polynomials?
3. How do you factor expressions like \(2x + 3y\)?
4. What happens when you add or subtract expressions with different variables?
5. How do you check if a simplified expression is correct?

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

Learn how to simplify the algebraic expression (5x - 4y) - (3x - 7y) by applying the distributive property and combining like terms. This problem is ideal for students in Grades 6-8, focusing on key algebraic concepts like simplification and the distributive property.

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