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Simplifying 12y + 13y + 2 = 7y + 14 + 16y Reorder the terms: 2 + 12y + 13y = 7y + 14 + 16y Combine like terms: 12y + 13y = 25y 2 + 25y = 7y + 14 + 16y Reorder the terms: 2 + 25y = 14 + 7y + 16y Combine like terms: 7y + 16y = 23y 2 + 25y = 14 + 23y Solving 2 + 25y = 14 + 23y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-23y' to each side of the equation. 2 + 25y + -23y = 14 + 23y + -23y Combine like terms: 25y + -23y = 2y 2 + 2y = 14 + 23y + -23y Combine like terms: 23y + -23y = 0 2 + 2y = 14 + 0 2 + 2y = 14 Add '-2' to each side of the equation. 2 + -2 + 2y = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 14 + -2 2y = 14 + -2 Combine like terms: 14 + -2 = 12 2y = 12 Divide each side by '2'. y = 6 Simplifying y = 6
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