Question 111093
{{{(y-5)/(y+3)=(y+6)/(y-2)}}}

by cross multiplication,

{{{(y-5)(y-2)=(y+6)(y+3)}}}
{{{y(y-2)-5(y-2)=y(y+3)+6(y+3)}}}
{{{(y^2-2y)-(5y-10)=(y^2+3y)+(6y+18)}}}
{{{y^2+(-2y-5y)+10=y^2+(3y+6y)+18}}}
{{{y^2-7y+10=y^2+9y+18}}}
{{{y^2-y^2-7y+10=y^2-y^2+9y+18}}}
{{{-7y+10=9y+18}}}
{{{-7y-9y+10=9y-9y+18}}}
{{{-16y+10=18}}}
{{{-16y=18-10}}}
{{{-16y=8}}}
{{{y=-8/16=-1/2}}}


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