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Simplifying [8(y + 5) + -16] + [2(y + -2) + 4] = 0 Reorder the terms: [8(5 + y) + -16] + [2(y + -2) + 4] = 0 [(5 * 8 + y * 8) + -16] + [2(y + -2) + 4] = 0 [(40 + 8y) + -16] + [2(y + -2) + 4] = 0 Reorder the terms: [40 + -16 + 8y] + [2(y + -2) + 4] = 0 Combine like terms: 40 + -16 = 24 [24 + 8y] + [2(y + -2) + 4] = 0 Remove brackets around [24 + 8y] 24 + 8y + [2(y + -2) + 4] = 0 Reorder the terms: 24 + 8y + [2(-2 + y) + 4] = 0 24 + 8y + [(-2 * 2 + y * 2) + 4] = 0 24 + 8y + [(-4 + 2y) + 4] = 0 Reorder the terms: 24 + 8y + [-4 + 4 + 2y] = 0 Combine like terms: -4 + 4 = 0 24 + 8y + [0 + 2y] = 0 24 + 8y + [2y] = 0 24 + 8y + [2y] = 0 Combine like terms: 8y + [2y] = 10y 24 + 10y = 0 Solving 24 + 10y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 10y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 10y = 0 + -24 10y = 0 + -24 Combine like terms: 0 + -24 = -24 10y = -24 Divide each side by '10'. y = -2.4 Simplifying y = -2.4
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