To evaluate the expression \( 4(2y - x) \) using the values \( x = 1 \) and \( y = 5 \), we can substitute the values of \( x \) and \( y \) into the expression.
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Substitute \( x \) and \( y \) into the expression: \[ x = 1,; y = 5 \implies 4(2y - x) = 4(2(5) - 1) \]
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Calculate \( 2y \): \[ 2(5) = 10 \]
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Now substitute back into the expression: \[ 4(10 - 1) = 4(9) \]
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Finally, multiply \( 4 \) by \( 9 \): \[ 4 \times 9 = 36 \]
Thus, the evaluated expression \( 4(2y - x) \) is \( \boxed{36} \).