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Simplifying 5y + 2 = 3y + 8 Reorder the terms: 2 + 5y = 3y + 8 Reorder the terms: 2 + 5y = 8 + 3y Solving 2 + 5y = 8 + 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. 2 + 5y + -3y = 8 + 3y + -3y Combine like terms: 5y + -3y = 2y 2 + 2y = 8 + 3y + -3y Combine like terms: 3y + -3y = 0 2 + 2y = 8 + 0 2 + 2y = 8 Add '-2' to each side of the equation. 2 + -2 + 2y = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = 8 + -2 2y = 8 + -2 Combine like terms: 8 + -2 = 6 2y = 6 Divide each side by '2'. y = 3 Simplifying y = 3
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