To simplify this expression, we need to apply the rules of exponents.

The expression y^-2y can be rewritten as 1/y^2. Therefore, the expression becomes:

(1/y^2*y)^-y^(y+3)(y-3)+2y(2y^2+5)

= y^-1(-y^(y+3)(y-3)+2y(2y^2+5))

= 1/y(-y^(y+3)(y-3)+2y(2y^2+5))

Now we can expand the expression further:

= (-y^(y+3)(y-3))/y + 2y(2y^2+5)

= (-y^(y+4)(y-3))/y + 4y^3 + 10y

Therefore, the simplified expression is (-y^(y+4)(y-3))/y + 4y^3 + 10y.