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: \[ 180y + 274 \]