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Simplifying 7(y + 1) = 5(y + 1) + 4 Reorder the terms: 7(1 + y) = 5(y + 1) + 4 (1 * 7 + y * 7) = 5(y + 1) + 4 (7 + 7y) = 5(y + 1) + 4 Reorder the terms: 7 + 7y = 5(1 + y) + 4 7 + 7y = (1 * 5 + y * 5) + 4 7 + 7y = (5 + 5y) + 4 Reorder the terms: 7 + 7y = 5 + 4 + 5y Combine like terms: 5 + 4 = 9 7 + 7y = 9 + 5y Solving 7 + 7y = 9 + 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 = 9 + 5y + -5y Combine like terms: 7y + -5y = 2y 7 + 2y = 9 + 5y + -5y Combine like terms: 5y + -5y = 0 7 + 2y = 9 + 0 7 + 2y = 9 Add '-7' to each side of the equation. 7 + -7 + 2y = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 2y = 9 + -7 2y = 9 + -7 Combine like terms: 9 + -7 = 2 2y = 2 Divide each side by '2'. y = 1 Simplifying y = 1
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