To solve the equation, we need to simplify both sides and isolate the variable.

First, let's simplify the left side of the equation:

7/4 - y x 5/6

To multiply y and 5/6, we can rewrite it as (5/6)y:

7/4 - (5/6)y

Next, let's find a common denominator for 4 and 6, which is 12:

(7/4) x (3/3) - (5/6)y

Now, we can multiply the numerators and denominators:

21/12 - (5/6)y

To simplify the right side of the equation:

1/2 + 1/3

To find a common denominator for 2 and 3, which is 6:

(1/2) x (3/3) + (1/3) x (2/2)

Now, we can add the fractions:

3/6 + 2/6

Combining the fractions:

5/6

Now, our equation becomes:

21/12 - (5/6)y = 5/6

To eliminate the denominators, we can multiply the entire equation by 12:

12 x (21/12) - 12 x (5/6)y = 12 x (5/6)

Simplifying:

21 - 10y = 10

Next, let's isolate the variable by moving the constant term to the other side:

21 - 10y - 21 = 10 - 21

Simplifying:

-10y = -11

Finally, divide both sides by -10 to solve for y:

-10y / -10 = -11 / -10

Simplifying:

y = 11/10

Therefore, the solution to the equation is y = 11/10.