Final answer:
The expression 9((5/9)y - 1/3) simplifies to 5y - 3 using the distributive property, by multiplying each term inside the parentheses by 9 and then combining the results.
Step-by-step explanation:
To simplify the expression using the distributive property, we follow these steps:
1. Apply the distributive property to remove the parentheses:
9((5/9)y - 1/3) = 9*((5/9)y) - 9*(1/3)
2. Multiply each term inside the parentheses by 9:
9*((5/9)y) = (9*5/9)*y = 5y
9*(1/3) = (9/3) = 3
3. Combine the results:
5y - 3
So, the simplified form of the expression 9((5/9)y - 1/3) is 5y - 3.