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Simplifying (3 + 4b) + (9 + 2y) = 0 Remove parenthesis around (3 + 4b) 3 + 4b + (9 + 2y) = 0 Remove parenthesis around (9 + 2y) 3 + 4b + 9 + 2y = 0 Reorder the terms: 3 + 9 + 4b + 2y = 0 Combine like terms: 3 + 9 = 12 12 + 4b + 2y = 0 Solving 12 + 4b + 2y = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 4b + -12 + 2y = 0 + -12 Reorder the terms: 12 + -12 + 4b + 2y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 4b + 2y = 0 + -12 4b + 2y = 0 + -12 Combine like terms: 0 + -12 = -12 4b + 2y = -12 Add '-2y' to each side of the equation. 4b + 2y + -2y = -12 + -2y Combine like terms: 2y + -2y = 0 4b + 0 = -12 + -2y 4b = -12 + -2y Divide each side by '4'. b = -3 + -0.5y Simplifying b = -3 + -0.5y
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