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Simplifying (x + 1)(a + -4) = y + -2 Reorder the terms: (1 + x)(a + -4) = y + -2 Reorder the terms: (1 + x)(-4 + a) = y + -2 Multiply (1 + x) * (-4 + a) (1(-4 + a) + x(-4 + a)) = y + -2 ((-4 * 1 + a * 1) + x(-4 + a)) = y + -2 ((-4 + 1a) + x(-4 + a)) = y + -2 (-4 + 1a + (-4 * x + a * x)) = y + -2 Reorder the terms: (-4 + 1a + (ax + -4x)) = y + -2 (-4 + 1a + (ax + -4x)) = y + -2 (-4 + 1a + ax + -4x) = y + -2 Reorder the terms: -4 + 1a + ax + -4x = -2 + y Solving -4 + 1a + ax + -4x = -2 + y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 1a + ax + 4 + -4x = -2 + 4 + y Reorder the terms: -4 + 4 + 1a + ax + -4x = -2 + 4 + y Combine like terms: -4 + 4 = 0 0 + 1a + ax + -4x = -2 + 4 + y 1a + ax + -4x = -2 + 4 + y Combine like terms: -2 + 4 = 2 1a + ax + -4x = 2 + y Add '4x' to each side of the equation. 1a + ax + -4x + 4x = 2 + 4x + y Combine like terms: -4x + 4x = 0 1a + ax + 0 = 2 + 4x + y 1a + ax = 2 + 4x + y Reorder the terms: -2 + 1a + ax + -4x + -1y = 2 + 4x + y + -2 + -4x + -1y Reorder the terms: -2 + 1a + ax + -4x + -1y = 2 + -2 + 4x + -4x + y + -1y Combine like terms: 2 + -2 = 0 -2 + 1a + ax + -4x + -1y = 0 + 4x + -4x + y + -1y -2 + 1a + ax + -4x + -1y = 4x + -4x + y + -1y Combine like terms: 4x + -4x = 0 -2 + 1a + ax + -4x + -1y = 0 + y + -1y -2 + 1a + ax + -4x + -1y = y + -1y Combine like terms: y + -1y = 0 -2 + 1a + ax + -4x + -1y = 0 The solution to this equation could not be determined.
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