Simplify -3(2y2 - 7) + 8(3y2 - 12)

here are the solutions to the problems:

5. (a) Simplify $-3(2y^2 - 7) + 8(3y^2 - 12)$ and state:

Step 1: Distribute the numbers outside the parentheses.

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

Step 2: Combine the simplified expressions.

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