\[\boxed{\text{5.\ 65}}\]
\[\textbf{а)}\ 7 \cdot (3x + 6) - (20x + 4) = 0\]
\[21x + 42 - 20x - 4 = 0\]
\[x + 38 = 0\]
\[x = - 38.\]
\[\textbf{б)} - 6 \cdot (4x - 3) + (7 - 6x) = 0\]
\[- 24x + 18 + 7 - 6x = 0\]
\[- 30x = - 25\]
\[x = \frac{25}{30}\]
\[x = \frac{5}{6}.\]
\[\textbf{в)} - 5 \cdot (3y + 3) + 2 \cdot (7y - 6) =\]
\[= 0\]
\[- 15y - 15 + 14y - 12 = 0\]
\[- y - 27 = 0\]
\[- y = 27\]
\[y = - 27.\]
\[\textbf{г)}\ 6 \cdot (5 - 4x) + 5 \cdot (5x + 5) = 9\]
\[30 - 24x + 25x + 25 = 9\]
\[x = 9 - 55\]
\[x = - 46.\]