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Simplifying 2(4y + 5) + 3(4y + 1) = 0 Reorder the terms: 2(5 + 4y) + 3(4y + 1) = 0 (5 * 2 + 4y * 2) + 3(4y + 1) = 0 (10 + 8y) + 3(4y + 1) = 0 Reorder the terms: 10 + 8y + 3(1 + 4y) = 0 10 + 8y + (1 * 3 + 4y * 3) = 0 10 + 8y + (3 + 12y) = 0 Reorder the terms: 10 + 3 + 8y + 12y = 0 Combine like terms: 10 + 3 = 13 13 + 8y + 12y = 0 Combine like terms: 8y + 12y = 20y 13 + 20y = 0 Solving 13 + 20y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 20y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 20y = 0 + -13 20y = 0 + -13 Combine like terms: 0 + -13 = -13 20y = -13 Divide each side by '20'. y = -0.65 Simplifying y = -0.65
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