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Simplifying 3y + 502 = 2 + -5y Reorder the terms: 502 + 3y = 2 + -5y Solving 502 + 3y = 2 + -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. 502 + 3y + 5y = 2 + -5y + 5y Combine like terms: 3y + 5y = 8y 502 + 8y = 2 + -5y + 5y Combine like terms: -5y + 5y = 0 502 + 8y = 2 + 0 502 + 8y = 2 Add '-502' to each side of the equation. 502 + -502 + 8y = 2 + -502 Combine like terms: 502 + -502 = 0 0 + 8y = 2 + -502 8y = 2 + -502 Combine like terms: 2 + -502 = -500 8y = -500 Divide each side by '8'. y = -62.5 Simplifying y = -62.5
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