(W-4/9)(-2/3)=-4/5
Divided -2/3 or multiply -3/2 to each side
(W-4/9)(-2/3)(-3/2)=-4/5(-3/2)
W-4/9=12/10
W-4/9=6/5
Add 4/9 to each side
W-4/9+4/9=6/5+4/9
W=54/45+20/45
W=74/45
W=1 29/45
Check:
(W-4/9)(-2/3)=-4/5
(74/45-4/9)(-2/3)=-4/5
(74/45-20/45)(-2/3)=-4/5
(54/45)(-2/3)=-4/5
-108/135=-4/5
-36/45=-4/5
-12/15=-4/5
-4/5=-4/5. As a result, W=74/45. Hope it help!