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

To solve this expression:

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

First, distribute the negative sign to each term inside the parentheses:

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

Next, combine like terms:

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

Simplifying, we get:

0b - 9c

The final answer is:
-9c.