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Simplifying 4B + -32B = 36B + -8BY(4B) Combine like terms: 4B + -32B = -28B -28B = 36B + -8BY(4B) Remove parenthesis around (4B) -28B = 36B + -8BY * 4B Reorder the terms for easier multiplication: -28B = 36B + -8 * 4BY * B Multiply -8 * 4 -28B = 36B + -32BY * B Multiply BY * B -28B = 36B + -32B2Y Solving -28B = 36B + -32B2Y Solving for variable 'B'. Combine like terms: -28B + -36B = -64B -64B + 32B2Y = 36B + -32B2Y + -36B + 32B2Y Reorder the terms: -64B + 32B2Y = 36B + -36B + -32B2Y + 32B2Y Combine like terms: 36B + -36B = 0 -64B + 32B2Y = 0 + -32B2Y + 32B2Y -64B + 32B2Y = -32B2Y + 32B2Y Combine like terms: -32B2Y + 32B2Y = 0 -64B + 32B2Y = 0 Factor out the Greatest Common Factor (GCF), '32B'. 32B(-2 + BY) = 0 Ignore the factor 32.Subproblem 1
Set the factor 'B' equal to zero and attempt to solve: Simplifying B = 0 Solving B = 0 Move all terms containing B to the left, all other terms to the right. Simplifying B = 0Subproblem 2
Set the factor '(-2 + BY)' equal to zero and attempt to solve: Simplifying -2 + BY = 0 Solving -2 + BY = 0 Move all terms containing B to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + BY = 0 + 2 Combine like terms: -2 + 2 = 0 0 + BY = 0 + 2 BY = 0 + 2 Combine like terms: 0 + 2 = 2 BY = 2 Divide each side by 'Y'. B = 2Y-1 Simplifying B = 2Y-1Solution
B = {0, 2Y-1}
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