y²+5y/y+1=6/y+1
y²+5y/y+1=6/y+1 , y≠0
y²+5=6/y
(y²+5)y=6
(y²+5)y-6=0
y³+5y-6=0
y³-y²+y²-y+6y-6=0
y²(y-1)+y(y-1)+6(y-1)=0
(y-1)(y²+y+6)=0
y-1=0
y²+y+6=0
y=1
y€R , y≠0
y²+5y/y+1=6/y+1
y²+5y/y+1=6/y+1 , y≠0
y²+5=6/y
(y²+5)y=6
(y²+5)y-6=0
y³+5y-6=0
y³-y²+y²-y+6y-6=0
y²(y-1)+y(y-1)+6(y-1)=0
(y-1)(y²+y+6)=0
y-1=0
y²+y+6=0
y=1
y²+y+6=0
y=1
y€R , y≠0
y=1