[tex]y-1 = \frac{4y}{3} - \frac{2}{3} [/tex]
Multiply both sides by 3 :
[tex]y*3-1*3= \frac{4}{3} *3 - \frac{2}{3} *3[/tex]
[tex]3y-3=4y-2[/tex]
Add 3 to both sides:
[tex]3y - 3 + 3 = 4 y -2 + 3[/tex]
[tex]3y = 4y+1[/tex]
Subtract 4 y from both sides:
[tex]3y-4y = 4y+1-4y[/tex]
[tex]-y = 1[/tex]
Divide both sides by -1 :
[tex] \frac{-y}{-1} = \frac{1}{-1} [/tex]
[tex]y = -1[/tex]
hope this helps!