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Simplifying 7b + 3 + -4y = 3 + -3(B + 4) Reorder the terms: 3 + 7b + -4y = 3 + -3(B + 4) Reorder the terms: 3 + 7b + -4y = 3 + -3(4 + B) 3 + 7b + -4y = 3 + (4 * -3 + B * -3) 3 + 7b + -4y = 3 + (-12 + -3B) Combine like terms: 3 + -12 = -9 3 + 7b + -4y = -9 + -3B Solving 3 + 7b + -4y = -9 + -3B Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 7b + -3 + -4y = -9 + -3 + -3B Reorder the terms: 3 + -3 + 7b + -4y = -9 + -3 + -3B Combine like terms: 3 + -3 = 0 0 + 7b + -4y = -9 + -3 + -3B 7b + -4y = -9 + -3 + -3B Combine like terms: -9 + -3 = -12 7b + -4y = -12 + -3B Add '4y' to each side of the equation. 7b + -4y + 4y = -12 + -3B + 4y Combine like terms: -4y + 4y = 0 7b + 0 = -12 + -3B + 4y 7b = -12 + -3B + 4y Divide each side by '7'. b = -1.714285714 + -0.4285714286B + 0.5714285714y Simplifying b = -1.714285714 + -0.4285714286B + 0.5714285714y
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