9. Решите уравнения: 1) -5-(3x-2)+4(4x-23)=-78; 2) -4-(5y-3)-9-(-2y-3)=-77; 3) 6(-2x+5)-7(-2x+9)=61; 4) 3(-3y-7)+4(2y-19)=-101.

Решение:

1. \( -5(3x-2) + 4(4x-23) = -78 \)
   \( -15x + 10 + 16x - 92 = -78 \)
   \( x - 82 = -78 \)
   \( x = -78 + 82 \)
   \( x = 4 \)
2. \( -4(5y-3) - 9(-2y-3) = -77 \)
   \( -20y + 12 + 18y + 27 = -77 \)
   \( -2y + 39 = -77 \)
   \( -2y = -77 - 39 \)
   \( -2y = -116 \)
   \( y = \frac{-116}{-2} \)
   \( y = 58 \)
3. \( 6(-2x+5) - 7(-2x+9) = 61 \)
   \( -12x + 30 + 14x - 63 = 61 \)
   \( 2x - 33 = 61 \)
   \( 2x = 61 + 33 \)
   \( 2x = 94 \)
   \( x = \frac{94}{2} \)
   \( x = 47 \)
4. \( 3(-3y-7) + 4(2y-19) = -101 \)
   \( -9y - 21 + 8y - 76 = -101 \)
   \( -y - 97 = -101 \)
   \( -y = -101 + 97 \)
   \( -y = -4 \)
   \( y = 4 \)

Ответ: 1) x = 4; 2) y = 58; 3) x = 47; 4) y = 4.