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Simplifying 7y + 12 = 5y + 40 Reorder the terms: 12 + 7y = 5y + 40 Reorder the terms: 12 + 7y = 40 + 5y Solving 12 + 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. 12 + 7y + -5y = 40 + 5y + -5y Combine like terms: 7y + -5y = 2y 12 + 2y = 40 + 5y + -5y Combine like terms: 5y + -5y = 0 12 + 2y = 40 + 0 12 + 2y = 40 Add '-12' to each side of the equation. 12 + -12 + 2y = 40 + -12 Combine like terms: 12 + -12 = 0 0 + 2y = 40 + -12 2y = 40 + -12 Combine like terms: 40 + -12 = 28 2y = 28 Divide each side by '2'. y = 14 Simplifying y = 14
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