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

To subtract these expressions, we need to distribute the negative sign to each term inside the parentheses and then combine like terms.

First, distribute the negative sign to the terms inside the parentheses:

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

Next, combine like terms:

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

= 4b - 9c

The simplified expression is 4b - 9c.