Answer:
[tex]\frac{y-6}{y}=5\quad :\quad y=-\frac{3}{2}[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}y\\\frac{y-6}{y}y=5y\\\mathrm{Simplify\:}\frac{y-6}{y}y:\quad y-6\\y-6=5y\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\y-6+6=5y+6\\y=5y+6\\\mathrm{Subtract\:}5y\mathrm{\:from\:both\:sides}\\y-5y=5y+6-5y\\-4y=6\\\mathrm{Divide\:both\:sides\:by\:}-4\\\frac{-4y}{-4}=\frac{6}{-4}\\y=-\frac{3}{2}[/tex]
OR
[tex]y-\frac{6}{y}=5\quad :\quad y=6,\:y=-1[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}y\\yy-\frac{6}{y}y=5y\\y^2-6=5y\\\mathrm{Solve\:}\:y^2-6=5y:\quad y=6,\:y=-1[/tex]
Hope this helps!!!!
