Final answer:
The expression 1/3 b + 2/3 b - 5/6 (b+1) is equivalent to 1/6 b - 5/6.
Step-by-step explanation:
To simplify the expression 1/3 b + 2/3 b - 5/6 (b+1), we need to multiply the terms inside the parentheses by -5/6. This gives us (1/3 b + 2/3 b - 5/6 * b - 5/6 * 1). Simplifying further, we get (1/3 b + 2/3 b - 5/6 b - 5/6). Combining like terms, we have (1/6 b - 5/6).
Therefore, the expression 1/3 b + 2/3 b - 5/6 (b+1) is equivalent to 1/6 b - 5/6.