Simplify -3(2y² - 7) + 8(3y² - 12) and state:

$$-3(2y^2 - 7) + 8(3y^2 - 12)$$ $$= (-3)(2y^2) + (-3)(-7) + (8)(3y^2) + (8)(-12)$$ $$= -6y^2 + 21 + 24y^2 - 96$$

Group the $y^2$ terms and the constant terms.

$$= (-6y^2 + 24y^2) + (21 - 96)$$ $$= 18y^2 - 75$$

Now, let's state the required information from the simplified expression $18y^2 - 75$:

(i) The coefficient of $y^2$: This is the number multiplying $y^2$.
The coefficient of $y^2$ is $\boxed{18}$.

(ii) The number of terms: Terms are separated by addition or subtraction.
The terms are $18y^2$ and $-75$.
The number of terms is $\boxed{2}$.

(iii) The constant term: This is the term without any variables.
The constant term is $\boxed{-75}$.