Answer:
[tex]y=\frac{4x+15}{5}\:\:or\:\:y=\frac{4x}{5}+3[/tex]
Step-by-step explanation:
[tex]-4x-6=-5y+9\\\\\mathrm{Switch\:sides}:\\\\-5y+9=-4x-6\\\\\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\-5y+9-9=-4x-6-9\\\\-5y=-4x-15\\\\\mathrm{Divide\:both\:sides\:by\:}-5\\\\\frac{-5y}{-5}=-\frac{4x}{-5}-\frac{15}{-5}\\\\y=\frac{4x+15}{5}\:\:or\:\:y=\frac{4x}{5}+3[/tex]
