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.