Subtract: (3b - 2c) - (6c + 2b) - (b + c).

To subtract the given expression, we can first remove the parentheses and then combine like terms.

(3b - 2c) - (6c + 2b) - (b + c)
= 3b - 2c - 6c - 2b - b - c
= (3b - 2b - 2b) + (-2c - 6c - c)
= -1b - 9c

Therefore, the simplified expression is -b - 9c.