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Simplifying [4y + 3] + -1[y + -2] = 0 Reorder the terms: [3 + 4y] + -1[y + -2] = 0 Remove brackets around [3 + 4y] 3 + 4y + -1[y + -2] = 0 Reorder the terms: 3 + 4y + -1[-2 + y] = 0 3 + 4y + [-2 * -1 + y * -1] = 0 3 + 4y + [2 + -1y] = 0 Reorder the terms: 3 + 2 + 4y + -1y = 0 Combine like terms: 3 + 2 = 5 5 + 4y + -1y = 0 Combine like terms: 4y + -1y = 3y 5 + 3y = 0 Solving 5 + 3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3y = 0 + -5 3y = 0 + -5 Combine like terms: 0 + -5 = -5 3y = -5 Divide each side by '3'. y = -1.666666667 Simplifying y = -1.666666667
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