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Simplifying 2(4y + 9) + 3 = 9 + 3(4 + 3) Reorder the terms: 2(9 + 4y) + 3 = 9 + 3(4 + 3) (9 * 2 + 4y * 2) + 3 = 9 + 3(4 + 3) (18 + 8y) + 3 = 9 + 3(4 + 3) Reorder the terms: 18 + 3 + 8y = 9 + 3(4 + 3) Combine like terms: 18 + 3 = 21 21 + 8y = 9 + 3(4 + 3) Combine like terms: 4 + 3 = 7 21 + 8y = 9 + 3(7) Multiply 3 * 7 21 + 8y = 9 + 21 Combine like terms: 9 + 21 = 30 21 + 8y = 30 Solving 21 + 8y = 30 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 8y = 30 + -21 Combine like terms: 21 + -21 = 0 0 + 8y = 30 + -21 8y = 30 + -21 Combine like terms: 30 + -21 = 9 8y = 9 Divide each side by '8'. y = 1.125 Simplifying y = 1.125
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