[tex]\frac{1}{6}p-\frac{4}{5}[/tex].
In the case we have to combine like terms in order to create an equivalent expression.
[tex]-\frac{2}{3}p+\frac{1}{5}-1+\frac{5}{6}p[/tex]
Combining like terms:
[tex]\frac{5}{6}p-\frac{2}{3}p+\frac{1}{5}-1[/tex]
[tex]\frac{(5)(3) - (6)(2)}{(6)(3)}p +(\frac{(1)(1) - (1)(5)}{5.1}[/tex]
[tex]\frac{15 - 12}{18}p+\frac{1 - 5}{5}[/tex]
[tex]\frac{3}{18}p-\frac{4}{5}[/tex]
[tex]\frac{1}{6}p-\frac{4}{5}[/tex]
