Please help my friend cant figure this out 1/y+9 -2=1/2(y+9) The 1/y+9 is 1 _____ y+9

Question

Please help my friend cant figure this out
`1/y+9 -2=1/2(y+9)`

The 1/y+9 is 1
_____
y+9

Answer 1

2(¹/y+9)-4=y+9
2/y+18=y+9+4
2/y+18=y+13
2/y+[18-13]=y
2/y+5=y
2+5y=y²
y²-5y-2


Y=-b±√b²-4ac
------------------
2a

y=5±√25-4•1•-2
---------------
2

Y=[5+√33]/2


Y=[5-√33]/2

Answer 2

I don't know, I will solve for y
1/y+9-2 is 1 so that prpbably means parenthasees
(1/y+9)-2=1/2 times (y+9)
multiply both sides by 2
2(1/y+9)-4=y+9
add 4 to both sides
2(1/y+9)=y+13
distribute
2/y+18=y+13
subtract 13 from both sides
2/y+5=y
multily both sides by y
2+5y=y^2
subtract 2+5y from both sides
y^2-5y-2=0
if we can factor then assume
if you can factor equation into zy=0 then assume z or/and y=0 so
use quadratic formula
in ay^2+by+c=0 then
y=
`(-b+ √(b^2-4ac) )/(2a)` or
`(-b- √(b^2-4ac) )/(2a)`

so subsitute and get
y=
`(5+ √(33) )/(2)` or
`(5- √(33) )/(2)`