Answer:
[tex]y=\frac{1}{4}[/tex]
Step-by-step explanation:
First off this is the equation:
[tex]8^y=16^y+2[/tex]
then we can change the equation to look like this:
[tex](2^3)^y=(2^4)^y + 2\\[/tex]
then you can solve and find: [tex]y=\frac{1}{4}[/tex]