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Simplifying 2(2y + 4) + 12 = 6(4y + 1) + -9 Reorder the terms: 2(4 + 2y) + 12 = 6(4y + 1) + -9 (4 * 2 + 2y * 2) + 12 = 6(4y + 1) + -9 (8 + 4y) + 12 = 6(4y + 1) + -9 Reorder the terms: 8 + 12 + 4y = 6(4y + 1) + -9 Combine like terms: 8 + 12 = 20 20 + 4y = 6(4y + 1) + -9 Reorder the terms: 20 + 4y = 6(1 + 4y) + -9 20 + 4y = (1 * 6 + 4y * 6) + -9 20 + 4y = (6 + 24y) + -9 Reorder the terms: 20 + 4y = 6 + -9 + 24y Combine like terms: 6 + -9 = -3 20 + 4y = -3 + 24y Solving 20 + 4y = -3 + 24y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24y' to each side of the equation. 20 + 4y + -24y = -3 + 24y + -24y Combine like terms: 4y + -24y = -20y 20 + -20y = -3 + 24y + -24y Combine like terms: 24y + -24y = 0 20 + -20y = -3 + 0 20 + -20y = -3 Add '-20' to each side of the equation. 20 + -20 + -20y = -3 + -20 Combine like terms: 20 + -20 = 0 0 + -20y = -3 + -20 -20y = -3 + -20 Combine like terms: -3 + -20 = -23 -20y = -23 Divide each side by '-20'. y = 1.15 Simplifying y = 1.15
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