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 \( 17y - 10 + 3(2y + 1) \), follow these steps in order:

1. **Distribute the \(3\)**: Apply the distributive property to the term \(3(2y + 1)\).
\[ 3(2y + 1) = 6y + 3 \]

2. **Rewrite the expression**: Substitute the result from the distribution back into the expression.
\[ 17y - 10 + 6y + 3 \]

3. **Combine like terms**: Add the coefficients of \(y\) and combine the constant terms.
- Combine \(17y\) and \(6y\):
\[ 17y + 6y = 23y \]
- Combine \(-10\) and \(3\):
\[ -10 + 3 = -7 \]

4. **Final expression**: Write the simplified expression.
\[ 23y - 7 \]

So the ordered steps to simplify \( 17y - 10 + 3(2y + 1) \) are:

1. Distribute the \(3\).
2. Rewrite the expression.
3. Combine like terms.
4. Write the final expression.