Question
Solve for \( y \). \[ 10 y=y+54 \] Simplify. your answer as much as possible. \( y=\square \)
Ask by Nguyen Sandoval. in the United States
Jan 24,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( y = 6 \)
Solution
To solve for \( y \) in the equation:
\[
10y = y + 54
\]
Follow these steps:
1. **Subtract \( y \) from both sides** to get all terms containing \( y \) on one side:
\[
10y - y = 54
\]
2. **Simplify** the left side:
\[
9y = 54
\]
3. **Divide both sides by 9** to solve for \( y \):
\[
y = \frac{54}{9} = 6
\]
**Final Answer:**
\[
y = 6
\]
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To solve the equation \( 10y = y + 54 \), we first need to get all the \( y \) terms on one side. Subtract \( y \) from both sides: \[ 10y - y = 54 \] This simplifies to: \[ 9y = 54 \] Now, divide both sides by 9: \[ y = \frac{54}{9} \] This simplifies to: \[ y = 6 \] So, the final answer is \( y = 6 \).
