Subtract:(3b —2c) — (6c+2b) — (b+c)

To subtract (3b - 2c) - (6c + 2b) - (b + c), we can first simplify each set of parentheses and then combine like terms.

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

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

Next, rearrange the terms so that like terms are grouped together:

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

Combine like terms:

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

Simplifying further, we get:

0b - 7c

Finally, the expression simplifies to:

-7c