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Simplifying 10(y + 1) + 5(2y + 4) = 2(6 + -1y) Reorder the terms: 10(1 + y) + 5(2y + 4) = 2(6 + -1y) (1 * 10 + y * 10) + 5(2y + 4) = 2(6 + -1y) (10 + 10y) + 5(2y + 4) = 2(6 + -1y) Reorder the terms: 10 + 10y + 5(4 + 2y) = 2(6 + -1y) 10 + 10y + (4 * 5 + 2y * 5) = 2(6 + -1y) 10 + 10y + (20 + 10y) = 2(6 + -1y) Reorder the terms: 10 + 20 + 10y + 10y = 2(6 + -1y) Combine like terms: 10 + 20 = 30 30 + 10y + 10y = 2(6 + -1y) Combine like terms: 10y + 10y = 20y 30 + 20y = 2(6 + -1y) 30 + 20y = (6 * 2 + -1y * 2) 30 + 20y = (12 + -2y) Solving 30 + 20y = 12 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 30 + 20y + 2y = 12 + -2y + 2y Combine like terms: 20y + 2y = 22y 30 + 22y = 12 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + 22y = 12 + 0 30 + 22y = 12 Add '-30' to each side of the equation. 30 + -30 + 22y = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 22y = 12 + -30 22y = 12 + -30 Combine like terms: 12 + -30 = -18 22y = -18 Divide each side by '22'. y = -0.8181818182 Simplifying y = -0.8181818182
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