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

To subtract the given expression, we can remove the parentheses and combine like terms:

(3b - 2c) - (6c + 2b) - (b + c)

= 3b - 2c - 6c - 2b - b - c

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

= -b - 9c

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