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Simplifying 6(7 + y) = 5(y + -7) (7 * 6 + y * 6) = 5(y + -7) (42 + 6y) = 5(y + -7) Reorder the terms: 42 + 6y = 5(-7 + y) 42 + 6y = (-7 * 5 + y * 5) 42 + 6y = (-35 + 5y) Solving 42 + 6y = -35 + 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 = -35 + 5y + -5y Combine like terms: 6y + -5y = 1y 42 + 1y = -35 + 5y + -5y Combine like terms: 5y + -5y = 0 42 + 1y = -35 + 0 42 + 1y = -35 Add '-42' to each side of the equation. 42 + -42 + 1y = -35 + -42 Combine like terms: 42 + -42 = 0 0 + 1y = -35 + -42 1y = -35 + -42 Combine like terms: -35 + -42 = -77 1y = -77 Divide each side by '1'. y = -77 Simplifying y = -77
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