Given Equation: y + 11/6 - y - 1/9 = y + 7/4

To solve this equation, we will simplify the expression step by step and isolate the variable y.

Step 1: Simplify the equation
On the left-hand side, the terms y and -y cancel each other out, leaving us with:
11/6 - 1/9 = y + 7/4

Step 2: Find the common denominator
To add or subtract fractions, we need to find the common denominator. The denominators in this equation are 6, 9, and 4. The least common multiple of these numbers is 36. So, we will convert all the fractions to have a denominator of 36.

11/6 = (11 * 6) / (6 * 6) = 66/36
1/9 = (1 * 4) / (9 * 4) = 4/36
7/4 = (7 * 9) / (4 * 9) = 63/36

Step 3: Rewrite the equation with the common denominator
66/36 - 4/36 = y + 63/36

Step 4: Combine like terms
On the left-hand side, 66/36 - 4/36 = 62/36

62/36 = y + 63/36

Step 5: Isolate the variable y
To isolate the variable y, we need to get rid of the fraction on the right-hand side. We can do this by subtracting 63/36 from both sides of the equation.

62/36 - 63/36 = y + 63/36 - 63/36

-1/36 = y

Step 6: Final Answer
Therefore, the value of y that satisfies the equation is -1/36.

Summary:
The value of y that satisfies the equation y + 11/6 - y - 1/9 = y + 7/4 is -1/36. We simplified the equation, found the common denominator, combined like terms, and isolated the variable y to obtain the final answer.