Explanation:

To find the value of 'y', we need to use the formula for the average. The average is calculated by dividing the sum of the numbers by the total number of values.

- Step 1: Equation setup

- Average = (25 + 46 + y) / 3 = 11

- Step 2: Solve for 'y'

- Multiply both sides by 3 to remove the fraction: 25 + 46 + y = 33

- Add 25 and 46: 71 + y = 33

- Subtract 71 from both sides: y = 33 - 71

- y = -38

- Option Analysis:

- Option 1: -38

- Option 2: -34

- Option 3: -36

- Option 4: -37

?? The correct answer is Option 1: -38.