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Simplifying 14 + -5(1 + y) = 3(2y + -2) + -20 14 + (1 * -5 + y * -5) = 3(2y + -2) + -20 14 + (-5 + -5y) = 3(2y + -2) + -20 Combine like terms: 14 + -5 = 9 9 + -5y = 3(2y + -2) + -20 Reorder the terms: 9 + -5y = 3(-2 + 2y) + -20 9 + -5y = (-2 * 3 + 2y * 3) + -20 9 + -5y = (-6 + 6y) + -20 Reorder the terms: 9 + -5y = -6 + -20 + 6y Combine like terms: -6 + -20 = -26 9 + -5y = -26 + 6y Solving 9 + -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. 9 + -5y + -6y = -26 + 6y + -6y Combine like terms: -5y + -6y = -11y 9 + -11y = -26 + 6y + -6y Combine like terms: 6y + -6y = 0 9 + -11y = -26 + 0 9 + -11y = -26 Add '-9' to each side of the equation. 9 + -9 + -11y = -26 + -9 Combine like terms: 9 + -9 = 0 0 + -11y = -26 + -9 -11y = -26 + -9 Combine like terms: -26 + -9 = -35 -11y = -35 Divide each side by '-11'. y = 3.181818182 Simplifying y = 3.181818182
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