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Simplifying 4 + -5(3B + 2) = 8(3B + 6y) + -14 Reorder the terms: 4 + -5(2 + 3B) = 8(3B + 6y) + -14 4 + (2 * -5 + 3B * -5) = 8(3B + 6y) + -14 4 + (-10 + -15B) = 8(3B + 6y) + -14 Combine like terms: 4 + -10 = -6 -6 + -15B = 8(3B + 6y) + -14 -6 + -15B = (3B * 8 + 6y * 8) + -14 -6 + -15B = (24B + 48y) + -14 Reorder the terms: -6 + -15B = -14 + 24B + 48y Solving -6 + -15B = -14 + 24B + 48y Solving for variable 'B'. Move all terms containing B to the left, all other terms to the right. Add '-24B' to each side of the equation. -6 + -15B + -24B = -14 + 24B + -24B + 48y Combine like terms: -15B + -24B = -39B -6 + -39B = -14 + 24B + -24B + 48y Combine like terms: 24B + -24B = 0 -6 + -39B = -14 + 0 + 48y -6 + -39B = -14 + 48y Add '6' to each side of the equation. -6 + 6 + -39B = -14 + 6 + 48y Combine like terms: -6 + 6 = 0 0 + -39B = -14 + 6 + 48y -39B = -14 + 6 + 48y Combine like terms: -14 + 6 = -8 -39B = -8 + 48y Divide each side by '-39'. B = 0.2051282051 + -1.230769231y Simplifying B = 0.2051282051 + -1.230769231y
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