what is the value of y?
\(8^3\cdot8^{-5}\cdot8^y=8^{-2}\ \ \ |use\ a^n\cdot a^m=a^{n+m}\\\\8^{3+(-5)+y}=8^{-2}\\\\8^{-2+y}=8^{-2}\iff-2+y=-2\ \ \ |add\ 2\ to\ both\ sides\\\\\boxed{y=0}\)
