To evaluate the expression \( 10(3w - 2y) \) when \( w = 2 \) and \( y = 5 \):
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Substitute the values of \( w \) and \( y \) into the expression: \[ 10(3(2) - 2(5)) \]
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Calculate \( 3(2) \): \[ 3(2) = 6 \]
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Calculate \( 2(5) \): \[ 2(5) = 10 \]
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Substitute these results back into the expression: \[ 10(6 - 10) \]
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Simplify inside the parentheses: \[ 6 - 10 = -4 \]
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Finally, multiply by 10: \[ 10(-4) = -40 \]
Therefore, the value of the expression is -40.