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Simplifying y2 + 3 = 2(y + -2) Reorder the terms: 3 + y2 = 2(y + -2) Reorder the terms: 3 + y2 = 2(-2 + y) 3 + y2 = (-2 * 2 + y * 2) 3 + y2 = (-4 + 2y) Solving 3 + y2 = -4 + 2y Solving for variable 'y'. Reorder the terms: 3 + 4 + -2y + y2 = -4 + 2y + 4 + -2y Combine like terms: 3 + 4 = 7 7 + -2y + y2 = -4 + 2y + 4 + -2y Reorder the terms: 7 + -2y + y2 = -4 + 4 + 2y + -2y Combine like terms: -4 + 4 = 0 7 + -2y + y2 = 0 + 2y + -2y 7 + -2y + y2 = 2y + -2y Combine like terms: 2y + -2y = 0 7 + -2y + y2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + -2y + -7 + y2 = 0 + -7 Reorder the terms: 7 + -7 + -2y + y2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2y + y2 = 0 + -7 -2y + y2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2y + y2 = -7 The y term is -2y. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2y + 1 + y2 = -7 + 1 Reorder the terms: 1 + -2y + y2 = -7 + 1 Combine like terms: -7 + 1 = -6 1 + -2y + y2 = -6 Factor a perfect square on the left side: (y + -1)(y + -1) = -6 Can't calculate square root of the right side. The solution to this equation could not be determined.
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