To simplify this expression, we need, first, apply the distributive property, and we can do this as follows:
[tex]9\cdot(2+8y)=9\cdot2+9\cdot8y=18+72y[/tex]As we can see, we multiply 9 by each of the terms into the parenthesis.
The expression can be expressed as:
[tex]18\cdot(1+4y)=18(4y+1)[/tex]And this is a simplified expression we were looking for (the previous expression).
(18 is a common factor in 18 + 72y.)