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Simplifying 12y + 5 = 13y + 2 Reorder the terms: 5 + 12y = 13y + 2 Reorder the terms: 5 + 12y = 2 + 13y Solving 5 + 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. 5 + 12y + -13y = 2 + 13y + -13y Combine like terms: 12y + -13y = -1y 5 + -1y = 2 + 13y + -13y Combine like terms: 13y + -13y = 0 5 + -1y = 2 + 0 5 + -1y = 2 Add '-5' to each side of the equation. 5 + -5 + -1y = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -1y = 2 + -5 -1y = 2 + -5 Combine like terms: 2 + -5 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3
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