Question 981690
Simplest common denominator is 5y, so multiply left and right members by it.  This is basic fraction skills.


{{{5y(6/y+19/5)=5y(y)}}}


{{{30+19y=5y^2}}}


{{{5y^2-19y-30=0}}}, general form quadratic equation.
Maybe you could factor, maybe not.


Formula for general solution of a quadratic equation:  First find discriminant.
{{{(-19)^2-4*5*(-30)}}}
{{{19^2+20*30}}}
{{{19^2+600}}}
{{{961}}}
{{{highlight_green(31^2)}}}, the discriminant.


{{{y=(10+- 31)/(2*5)}}}


{{{highlight(y=-21/10)}}}   or   {{{highlight(y=41/10)}}}.