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Simplifying 13y + 19 = 6(9 + 1y) + 18 Reorder the terms: 19 + 13y = 6(9 + 1y) + 18 19 + 13y = (9 * 6 + 1y * 6) + 18 19 + 13y = (54 + 6y) + 18 Reorder the terms: 19 + 13y = 54 + 18 + 6y Combine like terms: 54 + 18 = 72 19 + 13y = 72 + 6y Solving 19 + 13y = 72 + 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. 19 + 13y + -6y = 72 + 6y + -6y Combine like terms: 13y + -6y = 7y 19 + 7y = 72 + 6y + -6y Combine like terms: 6y + -6y = 0 19 + 7y = 72 + 0 19 + 7y = 72 Add '-19' to each side of the equation. 19 + -19 + 7y = 72 + -19 Combine like terms: 19 + -19 = 0 0 + 7y = 72 + -19 7y = 72 + -19 Combine like terms: 72 + -19 = 53 7y = 53 Divide each side by '7'. y = 7.571428571 Simplifying y = 7.571428571
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