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

To subtract these expression, we need to distribute the negative sign to each term inside the parentheses.

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

Now we can combine like terms:

(3b - 2b - b) + (-2c - 6c - c)
= (0b - 4b) + (-9c)
= -4b - 9c

So, the simplified expression is -4b - 9c.