Let's simplify the expression step by step:
The original expression is:
\[ 8x \cdot 3y \cdot (-5y) - 7x^2 \cdot (-4y) \]
First, simplify \( 8x \cdot 3y \cdot (-5y) \): \[ 8 \cdot 3 \cdot (-5) \cdot x \cdot y \cdot y = -120xy^2 \]
Next, simplify \( -7x^2 \cdot (-4y) \): \[ -7 \cdot (-4) \cdot x^2 \cdot y = 28x^2y \]
Now, combine the two results together: \[ -120xy^2 + 28x^2y \]
The simplified expression is:
\[ 28x^2y - 120xy^2 \]
This is the final simplified expression.