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Simplifying 10y + -5(1 + y) = 3(y + -2) + -20 10y + (1 * -5 + y * -5) = 3(y + -2) + -20 10y + (-5 + -5y) = 3(y + -2) + -20 Reorder the terms: -5 + 10y + -5y = 3(y + -2) + -20 Combine like terms: 10y + -5y = 5y -5 + 5y = 3(y + -2) + -20 Reorder the terms: -5 + 5y = 3(-2 + y) + -20 -5 + 5y = (-2 * 3 + y * 3) + -20 -5 + 5y = (-6 + 3y) + -20 Reorder the terms: -5 + 5y = -6 + -20 + 3y Combine like terms: -6 + -20 = -26 -5 + 5y = -26 + 3y Solving -5 + 5y = -26 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -5 + 5y + -3y = -26 + 3y + -3y Combine like terms: 5y + -3y = 2y -5 + 2y = -26 + 3y + -3y Combine like terms: 3y + -3y = 0 -5 + 2y = -26 + 0 -5 + 2y = -26 Add '5' to each side of the equation. -5 + 5 + 2y = -26 + 5 Combine like terms: -5 + 5 = 0 0 + 2y = -26 + 5 2y = -26 + 5 Combine like terms: -26 + 5 = -21 2y = -21 Divide each side by '2'. y = -10.5 Simplifying y = -10.5
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