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Simplifying [9(y + 5) + -19] + [2(y + -2) + 2] = 0 Reorder the terms: [9(5 + y) + -19] + [2(y + -2) + 2] = 0 [(5 * 9 + y * 9) + -19] + [2(y + -2) + 2] = 0 [(45 + 9y) + -19] + [2(y + -2) + 2] = 0 Reorder the terms: [45 + -19 + 9y] + [2(y + -2) + 2] = 0 Combine like terms: 45 + -19 = 26 [26 + 9y] + [2(y + -2) + 2] = 0 Remove brackets around [26 + 9y] 26 + 9y + [2(y + -2) + 2] = 0 Reorder the terms: 26 + 9y + [2(-2 + y) + 2] = 0 26 + 9y + [(-2 * 2 + y * 2) + 2] = 0 26 + 9y + [(-4 + 2y) + 2] = 0 Reorder the terms: 26 + 9y + [-4 + 2 + 2y] = 0 Combine like terms: -4 + 2 = -2 26 + 9y + [-2 + 2y] = 0 Remove brackets around [-2 + 2y] 26 + 9y + -2 + 2y = 0 Reorder the terms: 26 + -2 + 9y + 2y = 0 Combine like terms: 26 + -2 = 24 24 + 9y + 2y = 0 Combine like terms: 9y + 2y = 11y 24 + 11y = 0 Solving 24 + 11y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 11y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 11y = 0 + -24 11y = 0 + -24 Combine like terms: 0 + -24 = -24 11y = -24 Divide each side by '11'. y = -2.181818182 Simplifying y = -2.181818182
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