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Simplifying 7(y + 7) = 5 + 6y Reorder the terms: 7(7 + y) = 5 + 6y (7 * 7 + y * 7) = 5 + 6y (49 + 7y) = 5 + 6y Solving 49 + 7y = 5 + 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. 49 + 7y + -6y = 5 + 6y + -6y Combine like terms: 7y + -6y = 1y 49 + 1y = 5 + 6y + -6y Combine like terms: 6y + -6y = 0 49 + 1y = 5 + 0 49 + 1y = 5 Add '-49' to each side of the equation. 49 + -49 + 1y = 5 + -49 Combine like terms: 49 + -49 = 0 0 + 1y = 5 + -49 1y = 5 + -49 Combine like terms: 5 + -49 = -44 1y = -44 Divide each side by '1'. y = -44 Simplifying y = -44
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