Answer:
65/198 + 143/198y
Explanation:
First, let's simplify the expression inside the parentheses:
2 - 1/6y = (12/6 - 1/6y) = 11/6 - 1/6y
Now we can substitute this expression back into the original equation:
8 3/11 - 4 1/3(11/6 - 1/6y)
Next, let's convert the mixed numbers into improper fractions:
8 3/11 = (811 + 3)/11 = 91/11
4 1/3 = (43 + 1)/3 = 13/3
Substituting these values, we get:
91/11 - 13/3(11/6 - 1/6y)
Now we can distribute the 13/3:
91/11 - (143/18 - 13/18y)
Simplifying further, we get:
91/11 - 143/18 + 13/18y
To add or subtract fractions, we need to have a common denominator. The least common multiple of 11 and 18 is 198, so we can rewrite the expression as follows:
(91/11) * (18/18) - (143/18) * (11/11) + (13/18y) * (1118/1118)
This gives us:
1638/198 - 1573/198 + 143/198y
Simplifying further, we get:
65/198 + 143/198y
Therefore, the final answer is:
65/198 + 143/198y