Simplify the expression:

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

Group of answer choices

3y + 23

-3y + 23

-3y - 13

7y -7

1 answer

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.

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