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Simplifying (y + a)(y + 3) = -8 Reorder the terms: (a + y)(y + 3) = -8 Reorder the terms: (a + y)(3 + y) = -8 Multiply (a + y) * (3 + y) (a(3 + y) + y(3 + y)) = -8 ((3 * a + y * a) + y(3 + y)) = -8 ((3a + ay) + y(3 + y)) = -8 (3a + ay + (3 * y + y * y)) = -8 (3a + ay + (3y + y2)) = -8 (3a + ay + 3y + y2) = -8 Solving 3a + ay + 3y + y2 = -8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3y' to each side of the equation. 3a + ay + 3y + -3y + y2 = -8 + -3y Combine like terms: 3y + -3y = 0 3a + ay + 0 + y2 = -8 + -3y 3a + ay + y2 = -8 + -3y Add '-1y2' to each side of the equation. 3a + ay + y2 + -1y2 = -8 + -3y + -1y2 Combine like terms: y2 + -1y2 = 0 3a + ay + 0 = -8 + -3y + -1y2 3a + ay = -8 + -3y + -1y2 Reorder the terms: 8 + 3a + ay + 3y + y2 = -8 + -3y + -1y2 + 8 + 3y + y2 Reorder the terms: 8 + 3a + ay + 3y + y2 = -8 + 8 + -3y + 3y + -1y2 + y2 Combine like terms: -8 + 8 = 0 8 + 3a + ay + 3y + y2 = 0 + -3y + 3y + -1y2 + y2 8 + 3a + ay + 3y + y2 = -3y + 3y + -1y2 + y2 Combine like terms: -3y + 3y = 0 8 + 3a + ay + 3y + y2 = 0 + -1y2 + y2 8 + 3a + ay + 3y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 8 + 3a + ay + 3y + y2 = 0 The solution to this equation could not be determined.
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