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Simplifying 5y + 8 = 3y + 1 Reorder the terms: 8 + 5y = 3y + 1 Reorder the terms: 8 + 5y = 1 + 3y Solving 8 + 5y = 1 + 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. 8 + 5y + -3y = 1 + 3y + -3y Combine like terms: 5y + -3y = 2y 8 + 2y = 1 + 3y + -3y Combine like terms: 3y + -3y = 0 8 + 2y = 1 + 0 8 + 2y = 1 Add '-8' to each side of the equation. 8 + -8 + 2y = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 2y = 1 + -8 2y = 1 + -8 Combine like terms: 1 + -8 = -7 2y = -7 Divide each side by '2'. y = -3.5 Simplifying y = -3.5
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