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Simplifying 12(y + 5) = 13y + 2 Reorder the terms: 12(5 + y) = 13y + 2 (5 * 12 + y * 12) = 13y + 2 (60 + 12y) = 13y + 2 Reorder the terms: 60 + 12y = 2 + 13y Solving 60 + 12y = 2 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 60 + 12y + -13y = 2 + 13y + -13y Combine like terms: 12y + -13y = -1y 60 + -1y = 2 + 13y + -13y Combine like terms: 13y + -13y = 0 60 + -1y = 2 + 0 60 + -1y = 2 Add '-60' to each side of the equation. 60 + -60 + -1y = 2 + -60 Combine like terms: 60 + -60 = 0 0 + -1y = 2 + -60 -1y = 2 + -60 Combine like terms: 2 + -60 = -58 -1y = -58 Divide each side by '-1'. y = 58 Simplifying y = 58
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