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