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Simplifying 2(13 + 2y) + -1(3y + 5) = 8 (13 * 2 + 2y * 2) + -1(3y + 5) = 8 (26 + 4y) + -1(3y + 5) = 8 Reorder the terms: 26 + 4y + -1(5 + 3y) = 8 26 + 4y + (5 * -1 + 3y * -1) = 8 26 + 4y + (-5 + -3y) = 8 Reorder the terms: 26 + -5 + 4y + -3y = 8 Combine like terms: 26 + -5 = 21 21 + 4y + -3y = 8 Combine like terms: 4y + -3y = 1y 21 + 1y = 8 Solving 21 + 1y = 8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 1y = 8 + -21 Combine like terms: 21 + -21 = 0 0 + 1y = 8 + -21 1y = 8 + -21 Combine like terms: 8 + -21 = -13 1y = -13 Divide each side by '1'. y = -13 Simplifying y = -13
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