Final answer:
To simplify the expression 6(x + y + 7) using the distributive property, distribute the number 6 to each term inside the parentheses. The simplified expression is 6x + 6y + 42.
Step-by-step explanation:
The given expression is 6(x + y + 7). To simplify this expression using the distributive property, we will distribute the number 6 to each term inside the parentheses:
6(x + y + 7) = 6x + 6y + 42.
Therefore, the simplified expression is 6x + 6y + 42.