1.3(x+1) = 2 (x+4)..... 2.3 (2y-3) = 5 (y-2).... 3.8-2 (3-4y) = 7y-1..... 4.5x+7 (3x+2) = 6 (4x+1)....

1) 3(x + 1) = 2(x + 4)
3x + 3 = 2x + 8
3x - 2x = 8 - 3
x = 5

2) 3 (2y - 3) = 5 (y - 2)
6y - 9 = 5y - 10
6y - 5y = - 10 + 9
y = - 1

3) 8 - 2(3 - 4y) = 7y - 1
8 - 6 + 8y = 7y - 1
2 + 8y = 7y - 1
8y - 7y = - 1 - 2
y = - 3

4) 5x + 7(3x + 2) = 6(4x + 1)
5x + 21x + 14 = 24x + 6
26x + 14 = 24x + 6
26x - 24x = 6 - 14
2x = - 8
x = - 4