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Simplifying 5y + 1 = 3y + 7 Reorder the terms: 1 + 5y = 3y + 7 Reorder the terms: 1 + 5y = 7 + 3y Solving 1 + 5y = 7 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. 1 + 5y + -3y = 7 + 3y + -3y Combine like terms: 5y + -3y = 2y 1 + 2y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 1 + 2y = 7 + 0 1 + 2y = 7 Add '-1' to each side of the equation. 1 + -1 + 2y = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2y = 7 + -1 2y = 7 + -1 Combine like terms: 7 + -1 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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