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Simplifying 13(y + 5) = 8y + 105 Reorder the terms: 13(5 + y) = 8y + 105 (5 * 13 + y * 13) = 8y + 105 (65 + 13y) = 8y + 105 Reorder the terms: 65 + 13y = 105 + 8y Solving 65 + 13y = 105 + 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. 65 + 13y + -8y = 105 + 8y + -8y Combine like terms: 13y + -8y = 5y 65 + 5y = 105 + 8y + -8y Combine like terms: 8y + -8y = 0 65 + 5y = 105 + 0 65 + 5y = 105 Add '-65' to each side of the equation. 65 + -65 + 5y = 105 + -65 Combine like terms: 65 + -65 = 0 0 + 5y = 105 + -65 5y = 105 + -65 Combine like terms: 105 + -65 = 40 5y = 40 Divide each side by '5'. y = 8 Simplifying y = 8
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