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Simplifying 3y + 2 = 5y + 8 Reorder the terms: 2 + 3y = 5y + 8 Reorder the terms: 2 + 3y = 8 + 5y Solving 2 + 3y = 8 + 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. 2 + 3y + -5y = 8 + 5y + -5y Combine like terms: 3y + -5y = -2y 2 + -2y = 8 + 5y + -5y Combine like terms: 5y + -5y = 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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