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Simplifying 7(y + 6) + -6y = 15 + -8 Reorder the terms: 7(6 + y) + -6y = 15 + -8 (6 * 7 + y * 7) + -6y = 15 + -8 (42 + 7y) + -6y = 15 + -8 Combine like terms: 7y + -6y = 1y 42 + 1y = 15 + -8 Combine like terms: 15 + -8 = 7 42 + 1y = 7 Solving 42 + 1y = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 1y = 7 + -42 Combine like terms: 42 + -42 = 0 0 + 1y = 7 + -42 1y = 7 + -42 Combine like terms: 7 + -42 = -35 1y = -35 Divide each side by '1'. y = -35 Simplifying y = -35
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