Let's solve each equation step by step:

1) 3х - 1 = 2(х - 2)
First, distribute on the right side.
3х - 1 = 2х - 4
Subtract 2х from both sides.
х - 1 = -4
Add 1 to both sides.
х = -3

2) 19(у - 9) = 3(у + 7)
First, distribute on both sides.
19у - 171 = 3у + 21
Subtract 3у from both sides.
16у - 171 = 21
Add 171 to both sides.
16у = 192
Divide by 16.
у = 12

3) 3(2х - 9) = 5(х - 4)
First, distribute on both sides.
6х - 27 = 5х - 20
Subtract 5х from both sides.
х - 27 = -20
Add 27 to both sides.
х = 7

Therefore, the solutions to the given equations are:
1) х = -3
2) у = 12
3) х = 7