Put the steps in order to simplify the expression:%C2%A0 14y−6+3(4y+7) . NOTE: Start with the given expression. (4 points) Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.

Question

Put the steps in order to simplify the expression:%C2%A0 14y−6+3(4y+7)  .  NOTE: Start with the given expression.  (4 points) Arrange responses in the correct order to answer the question. Select a response, navigate to the desired position and insert response at that position. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can be moved using the up and down arrow keys or by dragging with a mouse.

GPT-4o mini · Answer

To simplify the expression $ 14y - 6 + 3(4y + 7) $, follow these steps in order: 1. **Distribute the 3 across the expression in parentheses**: - This means calculating $ 3 \times 4y $ and $ 3 \times 7 $. - Result: $ 3(4y + 7) = 12y + 21 $. 2. **Rewrite the expression with the distributed terms included**: - This updates the beginning expression: $ 14y - 6 + 12y + 21 $. 3. **Combine like terms**: - Combine the terms involving $ y $: $ 14y + 12y = 26y $. - Combine the constant terms: $ -6 + 21 = 15 $. 4. **Write the simplified expression**: - Final result: $ 26y + 15 $. In order, the steps are: 1. Distribute the 3 across the expression in parentheses. 2. Rewrite the expression with the distributed terms included. 3. Combine like terms. 4. Write the simplified expression.