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Simplifying 12(3y + 4) + -9(7 + -8y) = 0 Reorder the terms: 12(4 + 3y) + -9(7 + -8y) = 0 (4 * 12 + 3y * 12) + -9(7 + -8y) = 0 (48 + 36y) + -9(7 + -8y) = 0 48 + 36y + (7 * -9 + -8y * -9) = 0 48 + 36y + (-63 + 72y) = 0 Reorder the terms: 48 + -63 + 36y + 72y = 0 Combine like terms: 48 + -63 = -15 -15 + 36y + 72y = 0 Combine like terms: 36y + 72y = 108y -15 + 108y = 0 Solving -15 + 108y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 108y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 108y = 0 + 15 108y = 0 + 15 Combine like terms: 0 + 15 = 15 108y = 15 Divide each side by '108'. y = 0.1388888889 Simplifying y = 0.1388888889
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