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Solve for \( y: 6 y=j \)

Ask by Weber Schwartz. in the United States
Jan 23,2025

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Tutor-Verified Answer

Answer

\( y = \frac{j}{6} \)

Solution

To solve for \( y \) in the equation: \[ 6y = j \] follow these steps: 1. **Isolate \( y \):** To solve for \( y \), you need to get \( y \) by itself on one side of the equation. Since \( y \) is being multiplied by 6, you can isolate \( y \) by dividing both sides of the equation by 6. 2. **Divide both sides by 6:** \[ \frac{6y}{6} = \frac{j}{6} \] 3. **Simplify:** \[ y = \frac{j}{6} \] **Final Solution:** \[ y = \frac{j}{6} \] So, the value of \( y \) is one-sixth of \( j \).

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Beyond the Answer

To isolate \( y \) in the equation \( 6y = j \), you simply need to divide both sides by 6. This gives us: \[ y = \frac{j}{6} \] Voila! You've found \( y \) in terms of \( j \). It's that simple! This equation can be quite useful, particularly in fields like physics or economics, where you often need to manipulate formulas to find one variable in relation to others. Understanding how to rearrange such equations can help make sense of complex relationships in real-world scenarios!

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