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Simplifying 13y + -3 = 8y + 42 Reorder the terms: -3 + 13y = 8y + 42 Reorder the terms: -3 + 13y = 42 + 8y Solving -3 + 13y = 42 + 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. -3 + 13y + -8y = 42 + 8y + -8y Combine like terms: 13y + -8y = 5y -3 + 5y = 42 + 8y + -8y Combine like terms: 8y + -8y = 0 -3 + 5y = 42 + 0 -3 + 5y = 42 Add '3' to each side of the equation. -3 + 3 + 5y = 42 + 3 Combine like terms: -3 + 3 = 0 0 + 5y = 42 + 3 5y = 42 + 3 Combine like terms: 42 + 3 = 45 5y = 45 Divide each side by '5'. y = 9 Simplifying y = 9
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