Pregunta
\begin{tabular}{l} Use the distributive property to remove the parentheses. \\ \( (y-6) 4 \) \\ \hline 10\end{tabular}
Ask by Bright Bowman. in the United States
Mar 09,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
\( 4y - 24 \)
Solución
To use the distributive property to remove the parentheses in the expression \( (y - 6) 4 \), we will multiply each term inside the parentheses by 4.
Here are the steps:
1. **Identify the terms inside the parentheses**: The expression is \( (y - 6) \), which contains two terms: \( y \) and \( -6 \).
2. **Apply the distributive property**: Multiply each term inside the parentheses by 4:
\[
(y - 6) 4 = y \cdot 4 - 6 \cdot 4
\]
3. **Perform the multiplication**:
- For the first term: \( y \cdot 4 = 4y \)
- For the second term: \( -6 \cdot 4 = -24 \)
4. **Combine the results**:
\[
4y - 24
\]
Thus, the expression \( (y - 6) 4 \) simplifies to \( 4y - 24 \).
The final answer is:
\[
4y - 24
\]
Respondido por UpStudy AI y revisado por un tutor profesional
Como
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The Deep Dive
Distributing the 4 across the expression inside the parentheses, we multiply each term by 4. So, \( (y - 6)4 \) becomes \( 4y - 24 \). Voilà! No more parentheses and it’s simplified. Now, if we want to equate it to 10, we can set up the equation: \( 4y - 24 = 10 \). Solving this gives us \( 4y = 34 \), leading to \( y = 8.5 \). Math magic at work!

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