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Simplifying 13y + 53 = 8y + 58 Reorder the terms: 53 + 13y = 8y + 58 Reorder the terms: 53 + 13y = 58 + 8y Solving 53 + 13y = 58 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. 53 + 13y + -8y = 58 + 8y + -8y Combine like terms: 13y + -8y = 5y 53 + 5y = 58 + 8y + -8y Combine like terms: 8y + -8y = 0 53 + 5y = 58 + 0 53 + 5y = 58 Add '-53' to each side of the equation. 53 + -53 + 5y = 58 + -53 Combine like terms: 53 + -53 = 0 0 + 5y = 58 + -53 5y = 58 + -53 Combine like terms: 58 + -53 = 5 5y = 5 Divide each side by '5'. y = 1 Simplifying y = 1
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