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Simplifying [9(y + 5) + -17] + [3(y + -3) + 3] = 0 Reorder the terms: [9(5 + y) + -17] + [3(y + -3) + 3] = 0 [(5 * 9 + y * 9) + -17] + [3(y + -3) + 3] = 0 [(45 + 9y) + -17] + [3(y + -3) + 3] = 0 Reorder the terms: [45 + -17 + 9y] + [3(y + -3) + 3] = 0 Combine like terms: 45 + -17 = 28 [28 + 9y] + [3(y + -3) + 3] = 0 Remove brackets around [28 + 9y] 28 + 9y + [3(y + -3) + 3] = 0 Reorder the terms: 28 + 9y + [3(-3 + y) + 3] = 0 28 + 9y + [(-3 * 3 + y * 3) + 3] = 0 28 + 9y + [(-9 + 3y) + 3] = 0 Reorder the terms: 28 + 9y + [-9 + 3 + 3y] = 0 Combine like terms: -9 + 3 = -6 28 + 9y + [-6 + 3y] = 0 Remove brackets around [-6 + 3y] 28 + 9y + -6 + 3y = 0 Reorder the terms: 28 + -6 + 9y + 3y = 0 Combine like terms: 28 + -6 = 22 22 + 9y + 3y = 0 Combine like terms: 9y + 3y = 12y 22 + 12y = 0 Solving 22 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 12y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 12y = 0 + -22 12y = 0 + -22 Combine like terms: 0 + -22 = -22 12y = -22 Divide each side by '12'. y = -1.833333333 Simplifying y = -1.833333333
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