Question
Solve for \( y \). \( C=8(y+k) \) \[ y=\square \]
Ask by King Simmons. in the United States
Jan 27,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( y = \frac{C - 8k}{8} \)
Solution
Solve the equation \( C=8(y+k) \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(C=8\left(y+k\right)\)
- step1: Swap the sides:
\(8\left(y+k\right)=C\)
- step2: Divide both sides:
\(\frac{8\left(y+k\right)}{8}=\frac{C}{8}\)
- step3: Divide the numbers:
\(y+k=\frac{C}{8}\)
- step4: Move the constant to the right side:
\(y=\frac{C}{8}-k\)
- step5: Subtract the terms:
\(y=\frac{C-8k}{8}\)
The solution to the equation \( C=8(y+k) \) for \( y \) is \( y=\frac{C-8k}{8} \).
Reviewed and approved by the UpStudy tutoring team
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Mind Expander
To solve for \( y \) in the equation \( C = 8(y + k) \), first divide both sides by 8: \[ \frac{C}{8} = y + k \] Next, isolate \( y \) by subtracting \( k \) from both sides: \[ y = \frac{C}{8} - k \] So the final answer is: \[ y = \frac{C}{8} - k \]