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