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Simplifying 10y + -1(1 + y) = 3(2y + -2) + -20 10y + (1 * -1 + y * -1) = 3(2y + -2) + -20 10y + (-1 + -1y) = 3(2y + -2) + -20 Reorder the terms: -1 + 10y + -1y = 3(2y + -2) + -20 Combine like terms: 10y + -1y = 9y -1 + 9y = 3(2y + -2) + -20 Reorder the terms: -1 + 9y = 3(-2 + 2y) + -20 -1 + 9y = (-2 * 3 + 2y * 3) + -20 -1 + 9y = (-6 + 6y) + -20 Reorder the terms: -1 + 9y = -6 + -20 + 6y Combine like terms: -6 + -20 = -26 -1 + 9y = -26 + 6y Solving -1 + 9y = -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. -1 + 9y + -6y = -26 + 6y + -6y Combine like terms: 9y + -6y = 3y -1 + 3y = -26 + 6y + -6y Combine like terms: 6y + -6y = 0 -1 + 3y = -26 + 0 -1 + 3y = -26 Add '1' to each side of the equation. -1 + 1 + 3y = -26 + 1 Combine like terms: -1 + 1 = 0 0 + 3y = -26 + 1 3y = -26 + 1 Combine like terms: -26 + 1 = -25 3y = -25 Divide each side by '3'. y = -8.333333333 Simplifying y = -8.333333333
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