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Simplifying 2(y + 3) + -4(y + -5) = 8 + -5y Reorder the terms: 2(3 + y) + -4(y + -5) = 8 + -5y (3 * 2 + y * 2) + -4(y + -5) = 8 + -5y (6 + 2y) + -4(y + -5) = 8 + -5y Reorder the terms: 6 + 2y + -4(-5 + y) = 8 + -5y 6 + 2y + (-5 * -4 + y * -4) = 8 + -5y 6 + 2y + (20 + -4y) = 8 + -5y Reorder the terms: 6 + 20 + 2y + -4y = 8 + -5y Combine like terms: 6 + 20 = 26 26 + 2y + -4y = 8 + -5y Combine like terms: 2y + -4y = -2y 26 + -2y = 8 + -5y Solving 26 + -2y = 8 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 26 + -2y + 5y = 8 + -5y + 5y Combine like terms: -2y + 5y = 3y 26 + 3y = 8 + -5y + 5y Combine like terms: -5y + 5y = 0 26 + 3y = 8 + 0 26 + 3y = 8 Add '-26' to each side of the equation. 26 + -26 + 3y = 8 + -26 Combine like terms: 26 + -26 = 0 0 + 3y = 8 + -26 3y = 8 + -26 Combine like terms: 8 + -26 = -18 3y = -18 Divide each side by '3'. y = -6 Simplifying y = -6
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