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Simplifying y^{2}+ -4y + 8 = 0 Reorder the terms: 8 + -4y + y^{2}= 0 Solving 8 + -4y + y^{2}= 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-8' to each side of the equation. 8 + -4y + -8 + y^{2}= 0 + -8 Reorder the terms: 8 + -8 + -4y + y^{2}= 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4y + y^{2}= 0 + -8 -4y + y^{2}= 0 + -8 Combine like terms: 0 + -8 = -8 -4y + y^{2}= -8 The y term is -4y. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4y + 4 + y^{2}= -8 + 4 Reorder the terms: 4 + -4y + y^{2}= -8 + 4 Combine like terms: -8 + 4 = -4 4 + -4y + y^{2}= -4 Factor a perfect square on the left side: (y + -2)(y + -2) = -4 Can't calculate square root of the right side. The solution to this equation could not be determined.

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