https://file.aiquickdraw.com/mathbot/file/1728656457945pdjxko30.jpg

The equation shown in the image is:

\[
-8x - 2y + 23x - 6y
\]

Now, let's simplify this expression by combining like terms:

### Step 1: Combine the \(x\)-terms
The \(x\)-terms are \(-8x\) and \(23x\):
\[
-8x + 23x = 15x
\]

### Step 2: Combine the \(y\)-terms
The \(y\)-terms are \(-2y\) and \(-6y\):
\[
-2y - 6y = -8y
\]

### Final Simplified Expression:
\[
15x - 8y
\]

This is the simplified form of the given expression. 

Would you like more details on any of the steps, or have any further questions?

Here are 5 related questions to expand on this:

1. What would happen if there were more variables added?
2. Can this expression be factored further?
3. How would this change if the coefficients were fractions instead of integers?
4. What if one of the terms involved higher powers, like \(x^2\) or \(y^2\)?
5. How could we use this expression in a system of equations?

**Tip:** Always ensure that terms involving the same variable are combined together when simplifying algebraic expressions.

Learn how to simplify the algebraic expression -8x - 2y + 23x - 6y by combining like terms, a key concept in algebra. This detailed step-by-step solution is suitable for students in Grades 7-9.

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