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Simplifying 3y + -8 + 32 = 5y + 30 + -3y Reorder the terms: -8 + 32 + 3y = 5y + 30 + -3y Combine like terms: -8 + 32 = 24 24 + 3y = 5y + 30 + -3y Reorder the terms: 24 + 3y = 30 + 5y + -3y Combine like terms: 5y + -3y = 2y 24 + 3y = 30 + 2y Solving 24 + 3y = 30 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 24 + 3y + -2y = 30 + 2y + -2y Combine like terms: 3y + -2y = 1y 24 + 1y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 24 + 1y = 30 + 0 24 + 1y = 30 Add '-24' to each side of the equation. 24 + -24 + 1y = 30 + -24 Combine like terms: 24 + -24 = 0 0 + 1y = 30 + -24 1y = 30 + -24 Combine like terms: 30 + -24 = 6 1y = 6 Divide each side by '1'. y = 6 Simplifying y = 6
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