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Simplifying 13y + 5 = 40 + 12y + 25 Reorder the terms: 5 + 13y = 40 + 12y + 25 Reorder the terms: 5 + 13y = 40 + 25 + 12y Combine like terms: 40 + 25 = 65 5 + 13y = 65 + 12y Solving 5 + 13y = 65 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 5 + 13y + -12y = 65 + 12y + -12y Combine like terms: 13y + -12y = 1y 5 + 1y = 65 + 12y + -12y Combine like terms: 12y + -12y = 0 5 + 1y = 65 + 0 5 + 1y = 65 Add '-5' to each side of the equation. 5 + -5 + 1y = 65 + -5 Combine like terms: 5 + -5 = 0 0 + 1y = 65 + -5 1y = 65 + -5 Combine like terms: 65 + -5 = 60 1y = 60 Divide each side by '1'. y = 60 Simplifying y = 60
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