To evaluate the expression \(10(3w - 2y)\) when \(w = 2\) and \(y = 5\), you can follow these steps:
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Substitute \(w\) and \(y\) into the expression:
\[ 10(3(2) - 2(5)) \]
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Calculate the products inside the parentheses:
\[ 3(2) = 6 \quad \text{and} \quad 2(5) = 10 \]
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Now substitute these values back into the expression:
\[ 10(6 - 10) \]
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Perform the subtraction inside the parentheses:
\[ 6 - 10 = -4 \]
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Finally, multiply by 10:
\[ 10(-4) = -40 \]
So, the value of the expression \(10(3w - 2y)\) when \(w = 2\) and \(y = 5\) is \(-40\).