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Simplifying y2 + 8y = -48 Reorder the terms: 8y + y2 = -48 Solving 8y + y2 = -48 Solving for variable 'y'. Reorder the terms: 48 + 8y + y2 = -48 + 48 Combine like terms: -48 + 48 = 0 48 + 8y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-48' to each side of the equation. 48 + 8y + -48 + y2 = 0 + -48 Reorder the terms: 48 + -48 + 8y + y2 = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 8y + y2 = 0 + -48 8y + y2 = 0 + -48 Combine like terms: 0 + -48 = -48 8y + y2 = -48 The y term is 8y. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8y + 16 + y2 = -48 + 16 Reorder the terms: 16 + 8y + y2 = -48 + 16 Combine like terms: -48 + 16 = -32 16 + 8y + y2 = -32 Factor a perfect square on the left side: (y + 4)(y + 4) = -32 Can't calculate square root of the right side. The solution to this equation could not be determined.
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