1)x=2/3x+1 . 2) x-1/2=3/4x . 3) x-2/3=5/6x . 4) 1/4/5 y=y+4

1) x = 2/3x + 1;

x - 2/3x = 1;

1x - 2/3x = 1;

3/3x - 2/3x = 1;

(3/3 - 2/3) x = 1;

1/3x = 1;

x = 1 1/3;

x = 1/1 3/1;

x = 3;

2) x - 1/2 = 3/4x;

x - 3/4x = 1/2;

4/4x - 3/4x = 1/2;

1/4x = 1/2;

x = 1/2 1/4;

x = 1/2 4/1;

x = 2;

3) x - 2/3 = 5/6x;

x - 5/6x = 2/3;

6/6x - 5/6x = 2/3;

1/6x = 2/3;

x = 2/3 1/6;

x = 2/3 6/1;

x = 4;

4) 1 4/5y = y + 4;

1 4/5у - у = 4;

4/5у = 4;

у = 4 4/5;

у = 4/1 5/4;

у = 5;

5) 2/3y - 1/3 = 5/9y;

2/3у - 5/9у = 1/3;

6/9у - 5/9у = 1/3;

1/9у = 1/3;

у = 1/3 1/9;

у = 1/3 9/1;

у = 3;

6) 3/4y - 2/3 = 7/12y;

3/4у - 7/12у = 2/3;

9/12у - 7/12у = 2/3;

2/12у = 2/3 2/12;

у = 2/3 12/2;

у = 4.