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The simplified expression is \(22y + 6\).
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The Deep Dive
To simplify the expression \( 2(9y + 3) + 4y \), start by distributing the 2: \[ 2 \cdot 9y + 2 \cdot 3 + 4y = 18y + 6 + 4y \] Next, combine the like terms \( 18y \) and \( 4y \): \[ 18y + 4y + 6 = 22y + 6 \] So, the simplified expression is: \[ \boxed{22y + 6} \]