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Simplifying 2(3y + 8) * 5 + (40 + -4y) = 0 Reorder the terms: 2(8 + 3y) * 5 + (40 + -4y) = 0 Reorder the terms for easier multiplication: 2 * 5(8 + 3y) + (40 + -4y) = 0 Multiply 2 * 5 10(8 + 3y) + (40 + -4y) = 0 (8 * 10 + 3y * 10) + (40 + -4y) = 0 (80 + 30y) + (40 + -4y) = 0 Remove parenthesis around (40 + -4y) 80 + 30y + 40 + -4y = 0 Reorder the terms: 80 + 40 + 30y + -4y = 0 Combine like terms: 80 + 40 = 120 120 + 30y + -4y = 0 Combine like terms: 30y + -4y = 26y 120 + 26y = 0 Solving 120 + 26y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 26y = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 26y = 0 + -120 26y = 0 + -120 Combine like terms: 0 + -120 = -120 26y = -120 Divide each side by '26'. y = -4.615384615 Simplifying y = -4.615384615
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