Question

6y = 42
show me EACH step to find equations

Answer 1

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
1. Start with \( 6y = 42 \).
2. Divide both sides by 6 to isolate \( y \).
3. Simplify to find \( y = 7 \).