Bot GPT 4-o mini To solve the equation \( 6y = 42 \) for \( y \), follow these steps:
Step 1: Start with the original equation
\[ 6y = 42 \]
Step 2: Isolate the variable \( y \)
To isolate \( y \), divide both sides of the equation by 6. This will help you get \( y \) by itself.
\[ \frac{6y}{6} = \frac{42}{6} \]
Step 3: Simplify both sides
When you simplify the left side, \( \frac{6y}{6} \) becomes \( y \), and on the right side, \( \frac{42}{6} \) simplifies to 7:
\[ y = 7 \]
Conclusion
The solution to the equation \( 6y = 42 \) is
\[ y = 7 \]
Summary of Steps
- Start with \( 6y = 42 \).
- Divide both sides by 6 to isolate \( y \).
- Simplify to find \( y = 7 \).
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