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Simplifying 5y + 8y + 2 = 3y + 32 Reorder the terms: 2 + 5y + 8y = 3y + 32 Combine like terms: 5y + 8y = 13y 2 + 13y = 3y + 32 Reorder the terms: 2 + 13y = 32 + 3y Solving 2 + 13y = 32 + 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 + 13y + -3y = 32 + 3y + -3y Combine like terms: 13y + -3y = 10y 2 + 10y = 32 + 3y + -3y Combine like terms: 3y + -3y = 0 2 + 10y = 32 + 0 2 + 10y = 32 Add '-2' to each side of the equation. 2 + -2 + 10y = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 10y = 32 + -2 10y = 32 + -2 Combine like terms: 32 + -2 = 30 10y = 30 Divide each side by '10'. y = 3 Simplifying y = 3
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