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The simplified expression is \(16y-4\).
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To simplify \( 4(4 y+2)-12 \), start by distributing the 4 into the parentheses. First, multiply: \( 4 \times 4y = 16y \) and \( 4 \times 2 = 8 \). So, the expression becomes \( 16y + 8 - 12 \). Next, combine the constant terms \( 8 - 12 \): \( 8 - 12 = -4 \). Thus, the simplified expression is \( 16y - 4 \).
