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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 = -52 2y = -52 Divide each side by '2'. y = -26 Simplifying y = -26
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