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Simplifying 9(4y + 8) + 5(2y + 8) + 7 = 0 Reorder the terms: 9(8 + 4y) + 5(2y + 8) + 7 = 0 (8 * 9 + 4y * 9) + 5(2y + 8) + 7 = 0 (72 + 36y) + 5(2y + 8) + 7 = 0 Reorder the terms: 72 + 36y + 5(8 + 2y) + 7 = 0 72 + 36y + (8 * 5 + 2y * 5) + 7 = 0 72 + 36y + (40 + 10y) + 7 = 0 Reorder the terms: 72 + 40 + 7 + 36y + 10y = 0 Combine like terms: 72 + 40 = 112 112 + 7 + 36y + 10y = 0 Combine like terms: 112 + 7 = 119 119 + 36y + 10y = 0 Combine like terms: 36y + 10y = 46y 119 + 46y = 0 Solving 119 + 46y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-119' to each side of the equation. 119 + -119 + 46y = 0 + -119 Combine like terms: 119 + -119 = 0 0 + 46y = 0 + -119 46y = 0 + -119 Combine like terms: 0 + -119 = -119 46y = -119 Divide each side by '46'. y = -2.586956522 Simplifying y = -2.586956522
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