№6. Реши уравнения: a) 9 - 4y = -5y; г) 4n = -2 + 6n + 7; 6) 12a - 1 = -a + 25; д) 2 - c = 5c + 1; в) 8 + 3b = -7 - 2b; e) -3d - 10 = 3d - 6; ж) \(\frac{5}{6}m + 2 = \frac{1}{3}m - 0,8\); 3) -1,6 - 0,3р = 0,9p + 0,2; и) \(\frac{11}{12}x - \frac{2}{3} = -0,5 - \frac{3}{4}x\).

Пошаговое решение:

1. а) 9 - 4y = -5y
   9 = -5y + 4y
   9 = -y
   y = -9
2. г) 4n = -2 + 6n + 7
   4n = 6n + 5
   4n - 6n = 5
   -2n = 5
   n = 5 / -2
   n = -2,5
3. б) 12a - 1 = -a + 25
   12a + a = 25 + 1
   13a = 26
   a = 26 / 13
   a = 2
4. д) 2 - c = 5c + 1
   2 - 1 = 5c + c
   1 = 6c
   c = 1 / 6
5. в) 8 + 3b = -7 - 2b
   3b + 2b = -7 - 8
   5b = -15
   b = -15 / 5
   b = -3
6. е) -3d - 10 = 3d - 6
   -10 + 6 = 3d + 3d
   -4 = 6d
   d = -4 / 6
   d = -2 / 3
7. ж) \(\frac{5}{6}m + 2 = \frac{1}{3}m - 0,8\)
   \(\frac{5}{6}m - \frac{1}{3}m = -0,8 - 2\)
   \(\frac{5}{6}m - \frac{2}{6}m = -2,8\)
   \(\frac{3}{6}m = -2,8\)
   \(\frac{1}{2}m = -2,8\)
   m = -2,8 * 2
   m = -5,6
8. 3) -1,6 - 0,3р = 0,9p + 0,2
   -1,6 - 0,2 = 0,9p + 0,3p
   -1,8 = 1,2p
   p = -1,8 / 1,2
   p = -1,5
9. и) \(\frac{11}{12}x - \frac{2}{3} = -0,5 - \frac{3}{4}x\)
   \(\frac{11}{12}x + \frac{3}{4}x = -0,5 + \frac{2}{3}\)
   \(\frac{11}{12}x + \frac{9}{12}x = -\(\frac{1}{2}\) + \(\frac{2}{3}\)
   \(\frac{20}{12}x = -\(\frac{3}{6}\) + \(\frac{4}{6}\)
   \(\frac{5}{3}x = \(\frac{1}{6}\)
   x = \(\frac{1}{6} \cdot \frac{3}{5}\)
   x = \(\frac{3}{30}\)
   x = \(\frac{1}{10}\)
   x = 0,1

Ответ: а) y = -9; б) n = -2,5; в) a = 2; г) c = 1/6; д) b = -3; е) d = -2/3; ж) m = -5,6; 3) p = -1,5; и) x = 0,1