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Simplifying 8(3y + 1) = 4(y + 3) + -9 Reorder the terms: 8(1 + 3y) = 4(y + 3) + -9 (1 * 8 + 3y * 8) = 4(y + 3) + -9 (8 + 24y) = 4(y + 3) + -9 Reorder the terms: 8 + 24y = 4(3 + y) + -9 8 + 24y = (3 * 4 + y * 4) + -9 8 + 24y = (12 + 4y) + -9 Reorder the terms: 8 + 24y = 12 + -9 + 4y Combine like terms: 12 + -9 = 3 8 + 24y = 3 + 4y Solving 8 + 24y = 3 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 8 + 24y + -4y = 3 + 4y + -4y Combine like terms: 24y + -4y = 20y 8 + 20y = 3 + 4y + -4y Combine like terms: 4y + -4y = 0 8 + 20y = 3 + 0 8 + 20y = 3 Add '-8' to each side of the equation. 8 + -8 + 20y = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 20y = 3 + -8 20y = 3 + -8 Combine like terms: 3 + -8 = -5 20y = -5 Divide each side by '20'. y = -0.25 Simplifying y = -0.25
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