To simplify the expression \(-7(4y - 3)\), distribute \(-7\) to both terms inside the parentheses:
\[ -7(4y) + -7(-3) \]
Calculating each term:
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For \(-7(4y)\): \[ -7 \times 4y = -28y \]
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For \(-7(-3)\): \[ -7 \times -3 = 21 \]
Now, combine both results:
\[ -28y + 21 \]
Thus, the simplified expression is:
\[ -28y + 21 \]