To solve the first equation:
(3 1/6 - 2/9x) * 18

First, convert the mixed number to an improper fraction:
3 1/6 = 19/6
2/9x = 2x/9

Now substitute the values back into the equation:
(19/6 - 2x/9) 18
(19/6) 18 - (2x/9) 18
(19 3) - 2x * 2
57 - 4x

So, the first equation simplifies to 57 - 4x.

To solve the second equation:
10 (2 1/5y + 5 1/2)

First, convert the mixed numbers to improper fractions:
2 1/5 = 11/5
5 1/2 = 11/2

Now substitute the values back into the equation:
10 (11/5y + 11/2)
10 (11/5y + 11/2)
10 (11y/5 + 11/2)
110y/5 + 110/2
22y + 55

So, the second equation simplifies to 22y + 55.