https://file.aiquickdraw.com/mathbot/file/1726307911447jpqblo55.jpg

The expression provided in the image is:

\[
(4y - 5z) - (3y + z)
\]

To simplify this expression, follow these steps:

1. Distribute the negative sign across the second parenthesis:

\[
(4y - 5z) - 3y - z
\]

2. Now, combine like terms:

- Combine the \( y \) terms: \( 4y - 3y = y \)
- Combine the \( z \) terms: \( -5z - z = -6z \)

The simplified expression becomes:

\[
y - 6z
\]

Thus, the correct answer is option (A): \( y - 6z \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you distribute a negative sign across parentheses in algebraic expressions?
2. How do you identify like terms in algebraic expressions?
3. Can you explain how to simplify expressions with variables and constants?
4. What is the general process for simplifying algebraic expressions involving subtraction?
5. How does this process change when dealing with more complex polynomials?

**Tip**: Always distribute negative signs carefully, as missing them can lead to errors in simplification.

Learn how to simplify the algebraic expression (4y - 5z) - (3y + z) step by step. Understand the key concepts of combining like terms and using the distributive property. Suitable for students in Grades 6-8.

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