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Simplifying 7(y + 1) = 5y + 1 Reorder the terms: 7(1 + y) = 5y + 1 (1 * 7 + y * 7) = 5y + 1 (7 + 7y) = 5y + 1 Reorder the terms: 7 + 7y = 1 + 5y Solving 7 + 7y = 1 + 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. 7 + 7y + -5y = 1 + 5y + -5y Combine like terms: 7y + -5y = 2y 7 + 2y = 1 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + 2y = 1 + 0 7 + 2y = 1 Add '-7' to each side of the equation. 7 + -7 + 2y = 1 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 1 + -7 2y = 1 + -7 Combine like terms: 1 + -7 = -6 2y = -6 Divide each side by '2'. y = -3 Simplifying y = -3
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