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Simplifying (y + 7)(y + 7) = y2 Reorder the terms: (7 + y)(y + 7) = y2 Reorder the terms: (7 + y)(7 + y) = y2 Multiply (7 + y) * (7 + y) (7(7 + y) + y(7 + y)) = y2 ((7 * 7 + y * 7) + y(7 + y)) = y2 ((49 + 7y) + y(7 + y)) = y2 (49 + 7y + (7 * y + y * y)) = y2 (49 + 7y + (7y + y2)) = y2 Combine like terms: 7y + 7y = 14y (49 + 14y + y2) = y2 Add '-1y2' to each side of the equation. 49 + 14y + y2 + -1y2 = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 49 + 14y + 0 = y2 + -1y2 49 + 14y = y2 + -1y2 Combine like terms: y2 + -1y2 = 0 49 + 14y = 0 Solving 49 + 14y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + 14y = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 14y = 0 + -49 14y = 0 + -49 Combine like terms: 0 + -49 = -49 14y = -49 Divide each side by '14'. y = -3.5 Simplifying y = -3.5
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