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

To simplify this expression, we can start by removing the parentheses and combining like terms:

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

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

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

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

= -2b - 9c