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Simplifying [9(y + 5) + -17] + -1[3(y + -4) + 3] = 0 Reorder the terms: [9(5 + y) + -17] + -1[3(y + -4) + 3] = 0 [(5 * 9 + y * 9) + -17] + -1[3(y + -4) + 3] = 0 [(45 + 9y) + -17] + -1[3(y + -4) + 3] = 0 Reorder the terms: [45 + -17 + 9y] + -1[3(y + -4) + 3] = 0 Combine like terms: 45 + -17 = 28 [28 + 9y] + -1[3(y + -4) + 3] = 0 Remove brackets around [28 + 9y] 28 + 9y + -1[3(y + -4) + 3] = 0 Reorder the terms: 28 + 9y + -1[3(-4 + y) + 3] = 0 28 + 9y + -1[(-4 * 3 + y * 3) + 3] = 0 28 + 9y + -1[(-12 + 3y) + 3] = 0 Reorder the terms: 28 + 9y + -1[-12 + 3 + 3y] = 0 Combine like terms: -12 + 3 = -9 28 + 9y + -1[-9 + 3y] = 0 28 + 9y + [-9 * -1 + 3y * -1] = 0 28 + 9y + [9 + -3y] = 0 Reorder the terms: 28 + 9 + 9y + -3y = 0 Combine like terms: 28 + 9 = 37 37 + 9y + -3y = 0 Combine like terms: 9y + -3y = 6y 37 + 6y = 0 Solving 37 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + 6y = 0 + -37 Combine like terms: 37 + -37 = 0 0 + 6y = 0 + -37 6y = 0 + -37 Combine like terms: 0 + -37 = -37 6y = -37 Divide each side by '6'. y = -6.166666667 Simplifying y = -6.166666667
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