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Simplifying 12(13 + y) = 5(2y + 8) (13 * 12 + y * 12) = 5(2y + 8) (156 + 12y) = 5(2y + 8) Reorder the terms: 156 + 12y = 5(8 + 2y) 156 + 12y = (8 * 5 + 2y * 5) 156 + 12y = (40 + 10y) Solving 156 + 12y = 40 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. 156 + 12y + -10y = 40 + 10y + -10y Combine like terms: 12y + -10y = 2y 156 + 2y = 40 + 10y + -10y Combine like terms: 10y + -10y = 0 156 + 2y = 40 + 0 156 + 2y = 40 Add '-156' to each side of the equation. 156 + -156 + 2y = 40 + -156 Combine like terms: 156 + -156 = 0 0 + 2y = 40 + -156 2y = 40 + -156 Combine like terms: 40 + -156 = -116 2y = -116 Divide each side by '2'. y = -58 Simplifying y = -58
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