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

To simplify the expression, let's distribute the negative sign to each term inside the parentheses:

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

This gives us:

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

Now, let's group like terms:

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

This simplifies to:

-6b - 5c