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Simplifying [4 + -5y] + -2[3.5y + -8] = 0 Remove brackets around [4 + -5y] 4 + -5y + -2[3.5y + -8] = 0 Reorder the terms: 4 + -5y + -2[-8 + 3.5y] = 0 4 + -5y + [-8 * -2 + 3.5y * -2] = 0 4 + -5y + [16 + -7y] = 0 Reorder the terms: 4 + 16 + -5y + -7y = 0 Combine like terms: 4 + 16 = 20 20 + -5y + -7y = 0 Combine like terms: -5y + -7y = -12y 20 + -12y = 0 Solving 20 + -12y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -12y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -12y = 0 + -20 -12y = 0 + -20 Combine like terms: 0 + -20 = -20 -12y = -20 Divide each side by '-12'. y = 1.666666667 Simplifying y = 1.666666667
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