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Simplifying 5[2 + -4(y + -1)] = 5(2y + 8) Reorder the terms: 5[2 + -4(-1 + y)] = 5(2y + 8) 5[2 + (-1 * -4 + y * -4)] = 5(2y + 8) 5[2 + (4 + -4y)] = 5(2y + 8) Combine like terms: 2 + 4 = 6 5[6 + -4y] = 5(2y + 8) [6 * 5 + -4y * 5] = 5(2y + 8) [30 + -20y] = 5(2y + 8) Reorder the terms: 30 + -20y = 5(8 + 2y) 30 + -20y = (8 * 5 + 2y * 5) 30 + -20y = (40 + 10y) Solving 30 + -20y = 40 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 30 + -20y + -10y = 40 + 10y + -10y Combine like terms: -20y + -10y = -30y 30 + -30y = 40 + 10y + -10y Combine like terms: 10y + -10y = 0 30 + -30y = 40 + 0 30 + -30y = 40 Add '-30' to each side of the equation. 30 + -30 + -30y = 40 + -30 Combine like terms: 30 + -30 = 0 0 + -30y = 40 + -30 -30y = 40 + -30 Combine like terms: 40 + -30 = 10 -30y = 10 Divide each side by '-30'. y = -0.3333333333 Simplifying y = -0.3333333333
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