1/2[1-3/2y(y-8/3)]=y+5/6
1-3/2 y﹙y-8/3﹚=2y+5/3
3/2 y﹙y-8/3﹚+2y+2/3=0
3/2 y²-2y+2/3=0
9y²-12y+4=0
﹙3y-2﹚²=0
y1=y2=2/3.