Two interpretations (1) and (2):
(1) Assume (2/Y)+2+(5/Y)+1=0: Multiply through by Y: 2+2Y+5+Y=0
7+3Y=0
3Y=-7
Y=-7/3
CHECK: -6/7+2-15/7+1=3-21/7=3-3=0
(2) Assume (2/(Y+2))+(5/(Y+1))=0: Multiply through by (Y+2)(Y+1):
2(Y+1)+5(Y+2)=0
2Y+2+5Y+10=0
7Y+12=0
7Y=-12
Y=-12/7
CHECK:
Y+2=-12/7+2=2/7; Y+1=-12/7+1=-5/7
2/(Y+2)=7; 5/(Y+1)=-7
7-7=0