To simplify the expression 5/6(12c+a) - 2/3(3c-2a), we first need to distribute the coefficients to the terms inside the parentheses.

5/6(12c+a) = (5/6 12c) + (5/6 a) = 10c + 5a/6

Next, we apply the same process to the second term:

2/3(3c-2a) = (2/3 3c) - (2/3 2a) = 2c - 4a/3

Now, the expression becomes:

10c + 5a/6 - 2c + 4a/3

To combine like terms, we need to find a common denominator for the fractions:

10c + 5a/6 - 2c + 4a/3
= 10c + 5a/6 - 4c + 8a/6
= 6c + (5a+8a)/6
= 6c + 13a/6

Therefore, 5/6(12c+a) - 2/3(3c-2a) simplifies to 6c + 13a/6.