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Simplifying y2 + -10y = -33 Reorder the terms: -10y + y2 = -33 Solving -10y + y2 = -33 Solving for variable 'y'. Reorder the terms: 33 + -10y + y2 = -33 + 33 Combine like terms: -33 + 33 = 0 33 + -10y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-33' to each side of the equation. 33 + -10y + -33 + y2 = 0 + -33 Reorder the terms: 33 + -33 + -10y + y2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -10y + y2 = 0 + -33 -10y + y2 = 0 + -33 Combine like terms: 0 + -33 = -33 -10y + y2 = -33 The y term is -10y. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10y + 25 + y2 = -33 + 25 Reorder the terms: 25 + -10y + y2 = -33 + 25 Combine like terms: -33 + 25 = -8 25 + -10y + y2 = -8 Factor a perfect square on the left side: (y + -5)(y + -5) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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