Question 891959
Multiply both sides of the equation by 2y + 1 to eliminate the fraction
{{{(2y+1)*(-14/(2y+1))+5(2y+1)=y(2y+1)}}}
{{{-14+10y+5=2y^2 +y}}}
Changing to standard form
{{{2y^2 -9y +9=0}}}
Using the quadratic formula:
{{{x=(9 +- sqrt(81-72))/4}}}
{{{x=(9 +- sqrt(9)/4)}}}
{{{x=((9 +- 3)/4)}}}
{{{x= 3}}} and {{{x= 3/2}}}