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Simplifying [8(y + 5) + -18] + -1[2(y + -3) + 3] = 0 Reorder the terms: [8(5 + y) + -18] + -1[2(y + -3) + 3] = 0 [(5 * 8 + y * 8) + -18] + -1[2(y + -3) + 3] = 0 [(40 + 8y) + -18] + -1[2(y + -3) + 3] = 0 Reorder the terms: [40 + -18 + 8y] + -1[2(y + -3) + 3] = 0 Combine like terms: 40 + -18 = 22 [22 + 8y] + -1[2(y + -3) + 3] = 0 Remove brackets around [22 + 8y] 22 + 8y + -1[2(y + -3) + 3] = 0 Reorder the terms: 22 + 8y + -1[2(-3 + y) + 3] = 0 22 + 8y + -1[(-3 * 2 + y * 2) + 3] = 0 22 + 8y + -1[(-6 + 2y) + 3] = 0 Reorder the terms: 22 + 8y + -1[-6 + 3 + 2y] = 0 Combine like terms: -6 + 3 = -3 22 + 8y + -1[-3 + 2y] = 0 22 + 8y + [-3 * -1 + 2y * -1] = 0 22 + 8y + [3 + -2y] = 0 Reorder the terms: 22 + 3 + 8y + -2y = 0 Combine like terms: 22 + 3 = 25 25 + 8y + -2y = 0 Combine like terms: 8y + -2y = 6y 25 + 6y = 0 Solving 25 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 6y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 6y = 0 + -25 6y = 0 + -25 Combine like terms: 0 + -25 = -25 6y = -25 Divide each side by '6'. y = -4.166666667 Simplifying y = -4.166666667
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