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Simplifying 2y(a + -4) = 4a + -1(2a + 4) Reorder the terms: 2y(-4 + a) = 4a + -1(2a + 4) (-4 * 2y + a * 2y) = 4a + -1(2a + 4) Reorder the terms: (2ay + -8y) = 4a + -1(2a + 4) (2ay + -8y) = 4a + -1(2a + 4) Reorder the terms: 2ay + -8y = 4a + -1(4 + 2a) 2ay + -8y = 4a + (4 * -1 + 2a * -1) 2ay + -8y = 4a + (-4 + -2a) Reorder the terms: 2ay + -8y = -4 + 4a + -2a Combine like terms: 4a + -2a = 2a 2ay + -8y = -4 + 2a Solving 2ay + -8y = -4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 2ay + -2a + -8y = -4 + 2a + -2a Reorder the terms: -2a + 2ay + -8y = -4 + 2a + -2a Combine like terms: 2a + -2a = 0 -2a + 2ay + -8y = -4 + 0 -2a + 2ay + -8y = -4 Add '8y' to each side of the equation. -2a + 2ay + -8y + 8y = -4 + 8y Combine like terms: -8y + 8y = 0 -2a + 2ay + 0 = -4 + 8y -2a + 2ay = -4 + 8y Reorder the terms: 4 + -2a + 2ay + -8y = -4 + 8y + 4 + -8y Reorder the terms: 4 + -2a + 2ay + -8y = -4 + 4 + 8y + -8y Combine like terms: -4 + 4 = 0 4 + -2a + 2ay + -8y = 0 + 8y + -8y 4 + -2a + 2ay + -8y = 8y + -8y Combine like terms: 8y + -8y = 0 4 + -2a + 2ay + -8y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -1a + ay + -4y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -1a + ay + -4y)' equal to zero and attempt to solve: Simplifying 2 + -1a + ay + -4y = 0 Solving 2 + -1a + ay + -4y = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1a + ay + -2 + -4y = 0 + -2 Reorder the terms: 2 + -2 + -1a + ay + -4y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1a + ay + -4y = 0 + -2 -1a + ay + -4y = 0 + -2 Combine like terms: 0 + -2 = -2 -1a + ay + -4y = -2 Add '4y' to each side of the equation. -1a + ay + -4y + 4y = -2 + 4y Combine like terms: -4y + 4y = 0 -1a + ay + 0 = -2 + 4y -1a + ay = -2 + 4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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