https://file.aiquickdraw.com/mathbot/file/1725897308943z8gtxemd.jpg

To solve the problem, we need to find the expression that represents the difference when \((-x - 3y)\) is subtracted from \((8x - 9y)\). 

This can be represented as:

\[
(8x - 9y) - (-x - 3y)
\]

Now, distribute the negative sign across the second expression:

\[
8x - 9y + x + 3y
\]

Combine like terms:

\[
(8x + x) + (-9y + 3y) = 9x - 6y
\]

So, the expression in simplest terms is:

\[
\boxed{9x - 6y}
\]

Would you like any further details or have any questions about this solution?

### Related Questions:
1. How would you solve a similar problem with different coefficients?
2. What happens if you are asked to add instead of subtracting the expressions?
3. How do you handle subtraction involving negative coefficients?
4. Can you express this result in terms of factoring?
5. How do you solve algebraic expressions with multiple variables?

### Tip:
Always remember to distribute the negative sign carefully when subtracting expressions!

Find an expression which represents the difference when (-x - 3y) is subtracted from (8x - 9y) in simplest terms.

Learn how to subtract the expression (-x - 3y) from (8x - 9y) and simplify it in a few easy steps. This algebra problem covers key concepts like combining like terms and applying the distributive property. Suitable for students in Grades 7-9.

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