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Simplifying (y + 7)(y + 7) = 2y Reorder the terms: (7 + y)(y + 7) = 2y Reorder the terms: (7 + y)(7 + y) = 2y Multiply (7 + y) * (7 + y) (7(7 + y) + y(7 + y)) = 2y ((7 * 7 + y * 7) + y(7 + y)) = 2y ((49 + 7y) + y(7 + y)) = 2y (49 + 7y + (7 * y + y * y)) = 2y (49 + 7y + (7y + y2)) = 2y Combine like terms: 7y + 7y = 14y (49 + 14y + y2) = 2y Solving 49 + 14y + y2 = 2y Solving for variable 'y'. Reorder the terms: 49 + 14y + -2y + y2 = 2y + -2y Combine like terms: 14y + -2y = 12y 49 + 12y + y2 = 2y + -2y Combine like terms: 2y + -2y = 0 49 + 12y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-49' to each side of the equation. 49 + 12y + -49 + y2 = 0 + -49 Reorder the terms: 49 + -49 + 12y + y2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 12y + y2 = 0 + -49 12y + y2 = 0 + -49 Combine like terms: 0 + -49 = -49 12y + y2 = -49 The y term is 12y. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12y + 36 + y2 = -49 + 36 Reorder the terms: 36 + 12y + y2 = -49 + 36 Combine like terms: -49 + 36 = -13 36 + 12y + y2 = -13 Factor a perfect square on the left side: (y + 6)(y + 6) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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