Let's simplify the given expression step by step:
The expression is:
\[ -4.08 \div 1.2 - (-4.2) \times 1.5 \]
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Calculate \(-4.08 \div 1.2\): \[ -4.08 \div 1.2 = -3.4 \]
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Calculate \(-(-4.2) \times 1.5\): \[ -(-4.2) \times 1.5 = 4.2 \times 1.5 = 6.3 \]
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Combine the results: \[ -3.4 - 6.3 = -3.4 - 6.3 = -9.7 \]
The final result of the expression is:
\[ \boxed{-9.7} \]