Question

Question

Which expression is equivalent to
10−5y+3(2y−7)+y
(1 point)
Responses

11y−11
11 y minus 11

2y+3
2 y plus 3

2y+31
2 y plus 31

2y−11

Answer 1

To simplify the expression \(10 - 5y + 3(2y - 7) + y\), let's start by distributing and combining like terms.

1. Distribute \(3\) into \((2y - 7)\):

\[ 3(2y - 7) = 6y - 21 \]

So the expression becomes:

\[ 10 - 5y + 6y - 21 + y \]

2. Next, combine the like terms (the \(y\) terms and the constants):

• Combine the \(y\) terms: \[ -5y + 6y + y = (6y - 5y + 1y) = 2y \]

• Combine the constant terms: \[ 10 - 21 = -11 \]

3. Putting it all together, we have:

\[ 2y - 11 \]

Therefore, the expression equivalent to \(10 - 5y + 3(2y - 7) + y\) is \(2y - 11\).

The correct response is:

2y - 11