Question 1123485


{{{ (2)/(y+2)-(6)/(y^2+5y+6)=(5)/((y+2)^2)}}}


{{{ (2)/(y+2)-(6)/(y^2+3y+2y+6)=(5)/((y+2)^2)}}}


{{{ (2)/(y+2)-(6)/((y^2+3y)+(2y+6))=(5)/((y+2)(y+2))}}}


{{{ (2)/(y+2)-(6)/(y(y+3)+2(y+3))=(5)/((y+2)(y+2))}}}


{{{ (2)/(y+2)-(6)/((y + 3)(y + 2))=(5)/((y+2)(y+2))}}}


{{{ (2(y + 3))/((y + 3)(y+2))-(6)/((y + 3)(y + 2))=(5)/((y+2)(y+2))}}}


{{{ (2(y + 3)-6)/((y + 3)(y + 2))=(5)/((y+2)(y+2))}}}


{{{ (2y + 6-6)/((y + 3)cross((y + 2)))=(5)/((y+2)cross((y+2)))}}}


{{{ 2y/(y + 3)=5/(y+2)}}}


{{{ 2y(y + 2)=5(y+3)}}}

{{{ 2y^2+4y =5y+15}}}

{{{ 2y^2+4y -5y-15=0}}}

{{{ 2y^2 -y-15=0}}}

{{{ 2y^2 -6y+5y-15=0}}}

{{{ (2y^2 -6y)+(5y-15)=0}}}

{{{ 2y(y -3)+5(y-3)=0}}}

{{{ (y - 3) (2y + 5) = 0}}}

solutions:


if {{{ (y - 3)  = 0}}}->{{{y=3}}}

if {{{  (2y + 5) = 0}}}->{{{2y=-5}}}->{{{y=-5/2}}}