Question 210103
{{{y=3y/(y+5)}}} Start with the given equation.



{{{y(y+5)=3y}}} Multiply both sides by {{{y+5}}}



{{{y^2+5y=3y}}} Distribute



{{{y^2+5y-3y=0}}} Subtract 3y from both sides.



{{{y^2+2y=0}}} Combine like terms.



{{{y(y+2)=0}}} Factor out the GCF 'y'



{{{y=0}}} or {{{y+2=0}}} Use the zero product property



{{{y=0}}} or {{{y=-2}}} Solve for 'y' in each case.



So the solutions are {{{y=0}}} or {{{y=-2}}}