https://file.aiquickdraw.com/mathbot/file/1726848591548ye5a4znp.jpg

The problem in the image asks to expand and simplify the expression:

\[
6(y - 4) + 7
\]

### Step 1: Expand the expression
Distribute the \(6\) over the terms inside the parentheses:
\[
6 \times y = 6y
\]
\[
6 \times (-4) = -24
\]

So, the expression becomes:
\[
6y - 24 + 7
\]

### Step 2: Simplify the expression
Combine the constant terms \(-24 + 7\):
\[
6y - 24 + 7 = 6y - 17
\]

The simplified expression is:
\[
6y - 17
\]

Thus, the correct answer is **6y - 17**.

Let me know if you'd like more details or have questions! Here are five related questions for practice:

1. What is the result of expanding and simplifying \( 4(x - 3) + 5 \)?
2. How do you expand \( 3(a + 7) - 4 \)?
3. If you simplify \( 5(y + 2) + 3(y - 1) \), what do you get?
4. What is the expansion of \( 2(3x - 1) + 4(2x + 3) \)?
5. How does the distributive property help in solving equations like this?

**Tip**: Always combine like terms after distributing to ensure the expression is fully simplified.

Learn how to expand and simplify the algebraic expression 6(y - 4) + 7 using the distributive property and basic simplification techniques. This problem is suitable for middle school students in Grades 6-8.

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