Question
Solve for \( y \). \[ 5=\frac{y}{4}-11 \] Simplify your answer as much as possible.
Ask by Herrera Cross. in the United States
Feb 26,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y = 64 \)
Solution
Solve the equation \( 5=\frac{y}{4}-11 \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(5=\frac{y}{4}-11\)
- step1: Swap the sides:
\(\frac{y}{4}-11=5\)
- step2: Move the constant to the right side:
\(\frac{y}{4}=5+11\)
- step3: Add the numbers:
\(\frac{y}{4}=16\)
- step4: Cross multiply:
\(y=4\times 16\)
- step5: Simplify the equation:
\(y=64\)
The solution to the equation \(5=\frac{y}{4}-11\) is \(y=64\).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Mind Expander
To solve the equation \( 5 = \frac{y}{4} - 11 \), we first want to isolate \( \frac{y}{4} \) by adding 11 to both sides: \[ 5 + 11 = \frac{y}{4} \] This simplifies to: \[ 16 = \frac{y}{4} \] Next, we multiply both sides by 4 to solve for \( y \): \[ 16 \times 4 = y \] Calculating the left side gives: \[ y = 64 \] So the solution is: \[ y = 64 \]
