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

To subtract the given expression:

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

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

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

Combine like terms:

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

Simplifying further:

0b - 9c

Therefore, the simplified expression is -9c.