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Simplifying 7y + 14 = 5y + 40 Reorder the terms: 14 + 7y = 5y + 40 Reorder the terms: 14 + 7y = 40 + 5y Solving 14 + 7y = 40 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 14 + 7y + -5y = 40 + 5y + -5y Combine like terms: 7y + -5y = 2y 14 + 2y = 40 + 5y + -5y Combine like terms: 5y + -5y = 0 14 + 2y = 40 + 0 14 + 2y = 40 Add '-14' to each side of the equation. 14 + -14 + 2y = 40 + -14 Combine like terms: 14 + -14 = 0 0 + 2y = 40 + -14 2y = 40 + -14 Combine like terms: 40 + -14 = 26 2y = 26 Divide each side by '2'. y = 13 Simplifying y = 13
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