Question

Solving Linear Equations Unit Test 2 of 192 of 19 Items Question Which expression is equivalent to 10−5y+3(2y−7)+y ?(1 point) Responses 11y−11 11 y minus 11 2y−11 2 y minus 11 2y+3 2 y plus 3 2y+31

Answer 1

To simplify the expression \( 10 - 5y + 3(2y - 7) + y \), we can follow these steps:

1. Distribute the \( 3 \) in \( 3(2y - 7) \):
\[
3(2y - 7) = 6y - 21
\]

2. Substitute this back into the original expression:
\[
10 - 5y + 6y - 21 + y
\]

3. Combine like terms:
- Combine the constant terms:
\[
10 - 21 = -11
\]
- Combine the \( y \) terms:
\[
-5y + 6y + y = (6y - 5y + 1y) = 2y
\]

4. Putting it all together, we have:
\[
2y - 11
\]

So, the expression equivalent to \( 10 - 5y + 3(2y - 7) + y \) is:
\[
2y - 11
\]

The correct response is **2y−11**.