Final answer:
The sum of three consecutive even integers where the largest is y can be calculated as 3y - 6.
Step-by-step explanation:
The question involves finding the sum of three consecutive even integers where the largest integer is represented by y. If y is the largest even integer, then the second-largest would be y - 2, and the smallest would be y - 4, as even integers differ by 2. Therefore, the sum of these three consecutive even integers can be calculated as follows:
y + (y - 2) + (y - 4) = 3y - 6.
The equation simplifies the problem and provides the combined value of all three integers when the largest integer is known as y.