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Simplifying 7(7 + y) = 6(2 + y) (7 * 7 + y * 7) = 6(2 + y) (49 + 7y) = 6(2 + y) 49 + 7y = (2 * 6 + y * 6) 49 + 7y = (12 + 6y) Solving 49 + 7y = 12 + 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 = 12 + 6y + -6y Combine like terms: 7y + -6y = 1y 49 + 1y = 12 + 6y + -6y Combine like terms: 6y + -6y = 0 49 + 1y = 12 + 0 49 + 1y = 12 Add '-49' to each side of the equation. 49 + -49 + 1y = 12 + -49 Combine like terms: 49 + -49 = 0 0 + 1y = 12 + -49 1y = 12 + -49 Combine like terms: 12 + -49 = -37 1y = -37 Divide each side by '1'. y = -37 Simplifying y = -37
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