Question

Simplify the expression. Show your calculations. (2 points) (7.EE.1) 13(6 − 12y) + 14(24y + 14)

Answer 1

To simplify the expression \( 13(6 - 12y) + 14(24y + 14) \), we'll distribute and then combine like terms.

1. Distribute \( 13 \) in the first term:
\[
13(6) - 13(12y) = 78 - 156y
\]

2. Distribute \( 14 \) in the second term:
\[
14(24y) + 14(14) = 336y + 196
\]

3. Now, combine the results from steps 1 and 2:
\[
(78 - 156y) + (336y + 196)
\]

4. Combine like terms:
- Combine the constant terms:
\[
78 + 196 = 274
\]
- Combine the \( y \) terms:
\[
-156y + 336y = 180y
\]

5. Therefore, the simplified expression is:
\[
274 + 180y
\]

Thus, the final answer is:
\[
\boxed{180y + 274}
\]

Answer 2

rewrite as a 7th grader and make it able to copy and paste

Answer 3

Sure! Here’s a simplified version of the solution that a 7th grader could easily understand and copy:

To simplify the expression \( 13(6 - 12y) + 14(24y + 14) \), follow these steps:

1. Distribute \( 13 \) in the first part:
\[
13 \times 6 - 13 \times 12y = 78 - 156y
\]

2. Distribute \( 14 \) in the second part:
\[
14 \times 24y + 14 \times 14 = 336y + 196
\]

3. Now combine both parts:
\[
(78 - 156y) + (336y + 196)
\]

4. Combine the constant numbers and the \( y \) terms:
- Constant numbers:
\[
78 + 196 = 274
\]
- \( y \) terms:
\[
-156y + 336y = 180y
\]

5. So the simplified expression is:
\[
180y + 274
\]

Final answer:
\[
180y + 274
\]