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:
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For the first term: \[ 2(y + 4) = 2y + 8 \]
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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:
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For the terms with \(y\): \[ 2y - 5y = -3y \]
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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.
1 answer