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Simplifying 7y + 1 = 5y + 9 Reorder the terms: 1 + 7y = 5y + 9 Reorder the terms: 1 + 7y = 9 + 5y Solving 1 + 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. 1 + 7y + -5y = 9 + 5y + -5y Combine like terms: 7y + -5y = 2y 1 + 2y = 9 + 5y + -5y Combine like terms: 5y + -5y = 0 1 + 2y = 9 + 0 1 + 2y = 9 Add '-1' to each side of the equation. 1 + -1 + 2y = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 9 + -1 2y = 9 + -1 Combine like terms: 9 + -1 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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