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Simplifying 13y + 18 = 6(9 + y) + 14 Reorder the terms: 18 + 13y = 6(9 + y) + 14 18 + 13y = (9 * 6 + y * 6) + 14 18 + 13y = (54 + 6y) + 14 Reorder the terms: 18 + 13y = 54 + 14 + 6y Combine like terms: 54 + 14 = 68 18 + 13y = 68 + 6y Solving 18 + 13y = 68 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. 18 + 13y + -6y = 68 + 6y + -6y Combine like terms: 13y + -6y = 7y 18 + 7y = 68 + 6y + -6y Combine like terms: 6y + -6y = 0 18 + 7y = 68 + 0 18 + 7y = 68 Add '-18' to each side of the equation. 18 + -18 + 7y = 68 + -18 Combine like terms: 18 + -18 = 0 0 + 7y = 68 + -18 7y = 68 + -18 Combine like terms: 68 + -18 = 50 7y = 50 Divide each side by '7'. y = 7.142857143 Simplifying y = 7.142857143
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