\[\boxed{\text{322.}\text{\ }\text{ОК\ ГДЗ\ -\ домашка\ на\ 5}}\]
\[\textbf{а)}\ y^{7} - y^{6} + y = 1\]
\[y^{7} - y^{6} + y - 1 = 0\]
\[(y - 1)\left( y^{6} + 1 \right) = 0\]
\[y = 1.\]
\[\textbf{б)}\ y^{7} + y^{6} - 27y = 27\]
\[y^{7} + y^{6} - 27y - 27 = 0\]
\[y^{6} \cdot (y + 1) - 27 \cdot (y + 1) = 0\]
\[(y + 1)\left( y^{6} - 27 \right) = 0\]
\[y_{1} = - 1,\ \ y_{2,3} = \pm \sqrt{3}.\]
\[Ответ:а)\ 1;б) - 1;\ - \sqrt{3};\sqrt{3}.\]