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Simplifying 9(12y + 18) + -5 = -6(9y + -36) Reorder the terms: 9(18 + 12y) + -5 = -6(9y + -36) (18 * 9 + 12y * 9) + -5 = -6(9y + -36) (162 + 108y) + -5 = -6(9y + -36) Reorder the terms: 162 + -5 + 108y = -6(9y + -36) Combine like terms: 162 + -5 = 157 157 + 108y = -6(9y + -36) Reorder the terms: 157 + 108y = -6(-36 + 9y) 157 + 108y = (-36 * -6 + 9y * -6) 157 + 108y = (216 + -54y) Solving 157 + 108y = 216 + -54y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '54y' to each side of the equation. 157 + 108y + 54y = 216 + -54y + 54y Combine like terms: 108y + 54y = 162y 157 + 162y = 216 + -54y + 54y Combine like terms: -54y + 54y = 0 157 + 162y = 216 + 0 157 + 162y = 216 Add '-157' to each side of the equation. 157 + -157 + 162y = 216 + -157 Combine like terms: 157 + -157 = 0 0 + 162y = 216 + -157 162y = 216 + -157 Combine like terms: 216 + -157 = 59 162y = 59 Divide each side by '162'. y = 0.3641975309 Simplifying y = 0.3641975309
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