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Simplifying 13y + 9 = 9y + 45 Reorder the terms: 9 + 13y = 9y + 45 Reorder the terms: 9 + 13y = 45 + 9y Solving 9 + 13y = 45 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. 9 + 13y + -9y = 45 + 9y + -9y Combine like terms: 13y + -9y = 4y 9 + 4y = 45 + 9y + -9y Combine like terms: 9y + -9y = 0 9 + 4y = 45 + 0 9 + 4y = 45 Add '-9' to each side of the equation. 9 + -9 + 4y = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 4y = 45 + -9 4y = 45 + -9 Combine like terms: 45 + -9 = 36 4y = 36 Divide each side by '4'. y = 9 Simplifying y = 9
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