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Simplifying 27y + 9 = 13y + 51 Reorder the terms: 9 + 27y = 13y + 51 Reorder the terms: 9 + 27y = 51 + 13y Solving 9 + 27y = 51 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 9 + 27y + -13y = 51 + 13y + -13y Combine like terms: 27y + -13y = 14y 9 + 14y = 51 + 13y + -13y Combine like terms: 13y + -13y = 0 9 + 14y = 51 + 0 9 + 14y = 51 Add '-9' to each side of the equation. 9 + -9 + 14y = 51 + -9 Combine like terms: 9 + -9 = 0 0 + 14y = 51 + -9 14y = 51 + -9 Combine like terms: 51 + -9 = 42 14y = 42 Divide each side by '14'. y = 3 Simplifying y = 3
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