Put the steps in order to simplify the expression: 10y - 5 + 2 (4y+7).

Question

Put them in order:
- Original expression: 10y - 5 + 2 (4y+7)
- Combine like terms: 18y + 9
- Rearrange to see like terms: 10y + 8y - 5 + 14
- Do the distributive property: 10y - 5 + 8y + 14

Answer 1

To simplify the expression \(10y - 5 + 2 (4y + 7)\), the correct order of steps is:

1. Original expression: \(10y - 5 + 2 (4y + 7)\)
2. Do the distributive property: \(10y - 5 + 8y + 14\) (because \(2 \times 4y = 8y\) and \(2 \times 7 = 14\))
3. Rearrange to see like terms: \(10y + 8y - 5 + 14\)
4. Combine like terms: \(18y + 9\)

So the steps in order are:

1. Original expression: \(10y - 5 + 2 (4y + 7)\)
2. Do the distributive property: \(10y - 5 + 8y + 14\)
3. Rearrange to see like terms: \(10y + 8y - 5 + 14\)
4. Combine like terms: \(18y + 9\)