\[\boxed{\text{5.\ 71}}\]
\[\textbf{а)}\ y + 7 = 0\]
\[y = - 7.\]
\[\textbf{б)}\ x + 4 = x - 3\]
\[x - x = - 3 - 4\]
\[0x = - 7\]
\[нет\ корней.\]
\[\textbf{в)}\ a + a + a + a = 4a\]
\[4a = 4a\]
\[a - любое\ число.\]
\[\textbf{г)}\ (x - 5)(x + 6) = 0\]
\[x - 5 = 0;\ \ \ x + 6 = 0\]
\[x = 5;\ \ \ \ \ \ \ \ \ \ \ x = - 6.\]