4. Упростите обе части уравнения и найдите корень: a) 2(4x-3)-3(x + 5) = 14; 6) 9(y-4)-2(3y + 5) = 5(y-8); в) 6(а + 2)-4(2a-1) = 3a+ 1; г) 7(2b-5)-3(b+4) = 5(b-1) +2.

4. Решение уравнений:

1. a) \( 2(4x - 3) - 3(x + 5) = 14 \)
   \( 8x - 6 - 3x - 15 = 14 \)
   \( 5x - 21 = 14 \)
   \( 5x = 35 \)
   \( x = 7 \)
2. б) \( 9(y - 4) - 2(3y + 5) = 5(y - 8) \)
   \( 9y - 36 - 6y - 10 = 5y - 40 \)
   \( 3y - 46 = 5y - 40 \)
   \( -46 + 40 = 5y - 3y \)
   \( -6 = 2y \)
   \( y = -3 \)
3. в) \( 6(a + 2) - 4(2a - 1) = 3a + 1 \)
   \( 6a + 12 - 8a + 4 = 3a + 1 \)
   \( -2a + 16 = 3a + 1 \)
   \( 16 - 1 = 3a + 2a \)
   \( 15 = 5a \)
   \( a = 3 \)
4. г) \( 7(2b - 5) - 3(b + 4) = 5(b - 1) + 2 \)
   \( 14b - 35 - 3b - 12 = 5b - 5 + 2 \)
   \( 11b - 47 = 5b - 3 \)
   \( 11b - 5b = 47 - 3 \)
   \( 6b = 44 \)
   \( b = \frac{44}{6} = \frac{22}{3} \)

Ответ: а) x = 7; б) y = -3; в) a = 3; г) b = \(\frac{22}{3}\).