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Simplifying 30 = 7(y + 5) + 6y Reorder the terms: 30 = 7(5 + y) + 6y 30 = (5 * 7 + y * 7) + 6y 30 = (35 + 7y) + 6y Combine like terms: 7y + 6y = 13y 30 = 35 + 13y Solving 30 = 35 + 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. 30 + -13y = 35 + 13y + -13y Combine like terms: 13y + -13y = 0 30 + -13y = 35 + 0 30 + -13y = 35 Add '-30' to each side of the equation. 30 + -30 + -13y = 35 + -30 Combine like terms: 30 + -30 = 0 0 + -13y = 35 + -30 -13y = 35 + -30 Combine like terms: 35 + -30 = 5 -13y = 5 Divide each side by '-13'. y = -0.3846153846 Simplifying y = -0.3846153846
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