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Simplifying 6(y + 7) = 8 + 5y Reorder the terms: 6(7 + y) = 8 + 5y (7 * 6 + y * 6) = 8 + 5y (42 + 6y) = 8 + 5y Solving 42 + 6y = 8 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. 42 + 6y + -5y = 8 + 5y + -5y Combine like terms: 6y + -5y = 1y 42 + 1y = 8 + 5y + -5y Combine like terms: 5y + -5y = 0 42 + 1y = 8 + 0 42 + 1y = 8 Add '-42' to each side of the equation. 42 + -42 + 1y = 8 + -42 Combine like terms: 42 + -42 = 0 0 + 1y = 8 + -42 1y = 8 + -42 Combine like terms: 8 + -42 = -34 1y = -34 Divide each side by '1'. y = -34 Simplifying y = -34
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