Pregunta
Simplify. \[ -3(y+5)-2(y+6) \] \begin{tabular}{|l|l|}\hline II & \( \times \) \\ \hline\end{tabular}
Ask by Coleman Salazar. in the United States
Mar 12,2025
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The simplified expression is \(-5y-27\).
Solución
Calculate or simplify the expression \( -3(y+5)-2(y+6) \).
Simplify the expression by following steps:
- step0: Solution:
\(-3\left(y+5\right)-2\left(y+6\right)\)
- step1: Expand the expression:
\(-3y-15-2\left(y+6\right)\)
- step2: Expand the expression:
\(-3y-15-2y-12\)
- step3: Subtract the terms:
\(-5y-27\)
The simplified expression is \(-5y-27\).
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To simplify the expression \(-3(y+5)-2(y+6)\), start by distributing the constants: 1. Distribute \(-3\): \[ -3(y + 5) = -3y - 15 \] 2. Distribute \(-2\): \[ -2(y + 6) = -2y - 12 \] Now, combine these results: \[ -3y - 15 - 2y - 12 \] Next, combine like terms: \[ -3y - 2y = -5y \] And combine the constants: \[ -15 - 12 = -27 \] Putting it all together, we have: \[ -5y - 27 \] Thus, the simplified expression is: \[ \boxed{-5y - 27} \]
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