[tex] \\\\Domain:y\neq2\\\\\dfrac{3}{y-2}=8\\\\\dfrac{3}{y-2}=\dfrac{8}{1}\ \ \ \ |cross\ multiply\\\\8(y-2)=(3)(1)\\\\8y-16=3\ \ \ |+16\\\\8y=19\ \ \ |:8\\\\y=\dfrac{19}{8}\\\\y=2\dfrac{3}{8}\to C. [/tex]