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