Question

Put the steps in order to simplify the expression: 17y−10+3(2y+1)
.

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.

Answer 1

To simplify the expression \( 17y - 10 + 3(2y + 1) \), you can follow these steps in the correct order:

1. Distribute 3 in the expression \( 3(2y + 1) \).
2. Combine like terms.
3. Simplify the expression.

Here’s how the steps translate into actions:

1. Start with the given expression: \( 17y - 10 + 3(2y + 1) \).
2. Distribute: \( 3(2y) + 3(1) = 6y + 3 \).
3. Rewrite the expression: \( 17y - 10 + 6y + 3 \).
4. Combine like terms: \( (17y + 6y) + (-10 + 3) = 23y - 7 \).
5. The simplified expression is \( 23y - 7 \).

So the final order of steps is:

1. Start with the given expression: \( 17y - 10 + 3(2y + 1) \).
2. Distribute \( 3(2y + 1) \) to get \( 6y + 3 \).
3. Combine like terms to get \( 23y - 7 \).

Let me know if you need anything else!