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Simplifying 3(2y + 3) + -4 = 2(4y + 4) + 24 Reorder the terms: 3(3 + 2y) + -4 = 2(4y + 4) + 24 (3 * 3 + 2y * 3) + -4 = 2(4y + 4) + 24 (9 + 6y) + -4 = 2(4y + 4) + 24 Reorder the terms: 9 + -4 + 6y = 2(4y + 4) + 24 Combine like terms: 9 + -4 = 5 5 + 6y = 2(4y + 4) + 24 Reorder the terms: 5 + 6y = 2(4 + 4y) + 24 5 + 6y = (4 * 2 + 4y * 2) + 24 5 + 6y = (8 + 8y) + 24 Reorder the terms: 5 + 6y = 8 + 24 + 8y Combine like terms: 8 + 24 = 32 5 + 6y = 32 + 8y Solving 5 + 6y = 32 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 5 + 6y + -8y = 32 + 8y + -8y Combine like terms: 6y + -8y = -2y 5 + -2y = 32 + 8y + -8y Combine like terms: 8y + -8y = 0 5 + -2y = 32 + 0 5 + -2y = 32 Add '-5' to each side of the equation. 5 + -5 + -2y = 32 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 32 + -5 -2y = 32 + -5 Combine like terms: 32 + -5 = 27 -2y = 27 Divide each side by '-2'. y = -13.5 Simplifying y = -13.5
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