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Simplifying 9 + 13y + -6 = 7y + 51 + -2y Reorder the terms: 9 + -6 + 13y = 7y + 51 + -2y Combine like terms: 9 + -6 = 3 3 + 13y = 7y + 51 + -2y Reorder the terms: 3 + 13y = 51 + 7y + -2y Combine like terms: 7y + -2y = 5y 3 + 13y = 51 + 5y Solving 3 + 13y = 51 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 3 + 13y + -5y = 51 + 5y + -5y Combine like terms: 13y + -5y = 8y 3 + 8y = 51 + 5y + -5y Combine like terms: 5y + -5y = 0 3 + 8y = 51 + 0 3 + 8y = 51 Add '-3' to each side of the equation. 3 + -3 + 8y = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 8y = 51 + -3 8y = 51 + -3 Combine like terms: 51 + -3 = 48 8y = 48 Divide each side by '8'. y = 6 Simplifying y = 6
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