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Simplifying 5(1 + y) = 3(2y + -2) + -20 (1 * 5 + y * 5) = 3(2y + -2) + -20 (5 + 5y) = 3(2y + -2) + -20 Reorder the terms: 5 + 5y = 3(-2 + 2y) + -20 5 + 5y = (-2 * 3 + 2y * 3) + -20 5 + 5y = (-6 + 6y) + -20 Reorder the terms: 5 + 5y = -6 + -20 + 6y Combine like terms: -6 + -20 = -26 5 + 5y = -26 + 6y Solving 5 + 5y = -26 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 5 + 5y + -6y = -26 + 6y + -6y Combine like terms: 5y + -6y = -1y 5 + -1y = -26 + 6y + -6y Combine like terms: 6y + -6y = 0 5 + -1y = -26 + 0 5 + -1y = -26 Add '-5' to each side of the equation. 5 + -5 + -1y = -26 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = -26 + -5 -1y = -26 + -5 Combine like terms: -26 + -5 = -31 -1y = -31 Divide each side by '-1'. y = 31 Simplifying y = 31
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