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Simplifying 13y + 19 = 6(9 + y) Reorder the terms: 19 + 13y = 6(9 + y) 19 + 13y = (9 * 6 + y * 6) 19 + 13y = (54 + 6y) Solving 19 + 13y = 54 + 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 = 54 + 6y + -6y Combine like terms: 13y + -6y = 7y 19 + 7y = 54 + 6y + -6y Combine like terms: 6y + -6y = 0 19 + 7y = 54 + 0 19 + 7y = 54 Add '-19' to each side of the equation. 19 + -19 + 7y = 54 + -19 Combine like terms: 19 + -19 = 0 0 + 7y = 54 + -19 7y = 54 + -19 Combine like terms: 54 + -19 = 35 7y = 35 Divide each side by '7'. y = 5 Simplifying y = 5
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