Final answer:
The expression that represents half the sum of x and y decreased by one-third of y is ((x + y)/2) - (y/3).
Step-by-step explanation:
The question is asking for the expression that represents half the sum of x and y decreased by one-third of y. Let's break it down:
Half the sum of x and y can be written as (x + y)/2.
One-third of y can be written as y/3.
To find the expression that represents this, we subtract one-third of y from half the sum of x and y:
((x + y)/2) - (y/3)
This is the final expression that represents half the sum of x and y decreased by one-third of y.