Question

Simplify the expression:

2( y + 4) + 5( 3 - y)

Group of answer choices

3y + 23

-3y + 23

-3y - 13

7y -7

Answer 1

Let's simplify the expression step by step:

The given expression is:

\[ 2(y + 4) + 5(3 - y) \]

First, distribute the constants in front of the parentheses:

1. For the first term:
\[
2(y + 4) = 2y + 8
\]

2. For the second term:
\[
5(3 - y) = 5 \cdot 3 - 5 \cdot y = 15 - 5y
\]

Now, combine the results:

\[
2y + 8 + 15 - 5y
\]

Next, combine like terms:

- For the terms with \(y\):
\[
2y - 5y = -3y
\]

- For the constant terms:
\[
8 + 15 = 23
\]

Putting it all together, we have:

\[
-3y + 23
\]

Thus, the simplified expression is:

\(-3y + 23\)

The correct choice from the options provided is:

**-3y + 23**.