Answer:
Step-by-step explanation:
lets start with the OG: -(3/(2y+12))+2=-(8/(y+6))
now what? Lets think about it... We need common denominators to get anywhere so lets do that first.
[-3(2)(2y+12)]/(2y+12)= -8/(y+6)
now we can cross multiply to make it a little easier
-6(2y+12)*(y+6)=(2y+12)(-8)
simplify
-6(2[tex]y^{2}[/tex]+24y+72)= -16y-96
-12[tex]y^{2}[/tex] -144y -432 = -16y -96
(all of these are negative so you can just take all the negs out)
12[tex]y^{2}[/tex] +144y +432 = 16y +96
add common multiples
12[tex]y^{2}[/tex] +160y +528=0
all of these have a common multiple of 4 so divide all by 4 to simplify before factoring
3[tex]y^{2}[/tex] +40y +132 = 0
you cant really factor this equation without a calculator so thats all I got... sorry