It is given in the question that,
In order for a pet to lose weight in a in a healthy manner, a veterinarian suggest and overweight large-breed do loss 2 pounds per week.
And the given expression is

The overweight large-breed lose 2 pounds per week .
So if x is the initial weight , so after first week, weight losed

After 2 weeks, weight losed

So after y weeks, weight losed

So here, y represents the number of weeks .