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Simplifying y2 + -4(y + -5) * 2 = 0 Reorder the terms: y2 + -4(-5 + y) * 2 = 0 Reorder the terms for easier multiplication: y2 + -4 * 2(-5 + y) = 0 Multiply -4 * 2 y2 + -8(-5 + y) = 0 y2 + (-5 * -8 + y * -8) = 0 y2 + (40 + -8y) = 0 Reorder the terms: 40 + -8y + y2 = 0 Solving 40 + -8y + y2 = 0 Solving for variable 'y'. Begin completing the square. Move the constant term to the right: Add '-40' to each side of the equation. 40 + -8y + -40 + y2 = 0 + -40 Reorder the terms: 40 + -40 + -8y + y2 = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -8y + y2 = 0 + -40 -8y + y2 = 0 + -40 Combine like terms: 0 + -40 = -40 -8y + y2 = -40 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 = -40 + 16 Reorder the terms: 16 + -8y + y2 = -40 + 16 Combine like terms: -40 + 16 = -24 16 + -8y + y2 = -24 Factor a perfect square on the left side: (y + -4)(y + -4) = -24 Can't calculate square root of the right side. The solution to this equation could not be determined.
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