Solve the equations by trial-and-error method.
`38=y-7`

Answer

To solve the equation \( 38 = y - 7 \) using the trial-and-error method, we will follow these steps:

### Step-by-Step Solution:

1. **Understand the Equation**: We need to find a value of \( y \) such that when we subtract 7 from it, we get 38. This means we are looking for \( y \) such that \( y - 7 = 38 \).

2. **Rearranging the Equation**: We can rearrange the equation to find \( y \):
\[ y = 38 + 7 \]
This simplifies to:
\[ y = 45 \]
However, since we are using the trial-and-error method, we will check various values of \( y \) to see if they satisfy the equation.

3. **Start Testing Values**:
- **Try \( y = 39 \)**:
\[ 39 - 7 = 32 \quad (\text{not equal to } 38) \]
- **Try \( y = 40 \)**:
\[ 40 - 7 = 33 \quad (\text{not equal to } 38) \]
- **Try \( y = 41 \)**:
\[ 41 - 7 = 34 \quad (\text{not equal to } 38) \]
- **Try \( y = 42 \)**:
\[ 42 - 7 = 35 \quad (\text{not equal to } 38) \]
- **Try \( y = 43 \)**:
\[ 43 - 7 = 36 \quad (\text{not equal to } 38) \]
- **Try \( y = 44 \)**:
\[ 44 - 7 = 37 \quad (\text{not equal to } 38) \]
- **Try \( y = 45 \)**:
\[ 45 - 7 = 38 \quad (\text{this is equal to } 38) \]

4. **Conclusion**: We found that when \( y = 45 \), the equation holds true. Therefore, the solution to the equation \( 38 = y - 7 \) is:
\[ y = 45 \]