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Simplifying [9(y + -5) + -16] + [3(y + -2) + 1] = 0 Reorder the terms: [9(-5 + y) + -16] + [3(y + -2) + 1] = 0 [(-5 * 9 + y * 9) + -16] + [3(y + -2) + 1] = 0 [(-45 + 9y) + -16] + [3(y + -2) + 1] = 0 Reorder the terms: [-45 + -16 + 9y] + [3(y + -2) + 1] = 0 Combine like terms: -45 + -16 = -61 [-61 + 9y] + [3(y + -2) + 1] = 0 Remove brackets around [-61 + 9y] -61 + 9y + [3(y + -2) + 1] = 0 Reorder the terms: -61 + 9y + [3(-2 + y) + 1] = 0 -61 + 9y + [(-2 * 3 + y * 3) + 1] = 0 -61 + 9y + [(-6 + 3y) + 1] = 0 Reorder the terms: -61 + 9y + [-6 + 1 + 3y] = 0 Combine like terms: -6 + 1 = -5 -61 + 9y + [-5 + 3y] = 0 Remove brackets around [-5 + 3y] -61 + 9y + -5 + 3y = 0 Reorder the terms: -61 + -5 + 9y + 3y = 0 Combine like terms: -61 + -5 = -66 -66 + 9y + 3y = 0 Combine like terms: 9y + 3y = 12y -66 + 12y = 0 Solving -66 + 12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + 12y = 0 + 66 Combine like terms: -66 + 66 = 0 0 + 12y = 0 + 66 12y = 0 + 66 Combine like terms: 0 + 66 = 66 12y = 66 Divide each side by '12'. y = 5.5 Simplifying y = 5.5
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