I need a tutor very smart to answer this question

Given the expression :
[tex]\frac{1}{3}b+\frac{2}{3}b-\frac{5}{6}(b+1)=?[/tex]The expression will be equal:
[tex]\begin{gathered} \frac{1}{3}b+\frac{2}{3}b-\frac{5}{6}b-\frac{5}{6} \\ \\ =(\frac{1}{3}b+\frac{2}{3}b-\frac{5}{6}b)-\frac{5}{6} \\ \\ =\frac{1}{6}b-\frac{5}{6} \end{gathered}[/tex]so, the answer is option 4)
[tex]\frac{1}{6}b-\frac{5}{6}[/tex]