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Simplifying 5(y + b) + 3b + -6y + 4(6 + b) = 0 Reorder the terms: 5(b + y) + 3b + -6y + 4(6 + b) = 0 (b * 5 + y * 5) + 3b + -6y + 4(6 + b) = 0 (5b + 5y) + 3b + -6y + 4(6 + b) = 0 5b + 5y + 3b + -6y + (6 * 4 + b * 4) = 0 5b + 5y + 3b + -6y + (24 + 4b) = 0 Reorder the terms: 24 + 5b + 3b + 4b + 5y + -6y = 0 Combine like terms: 5b + 3b = 8b 24 + 8b + 4b + 5y + -6y = 0 Combine like terms: 8b + 4b = 12b 24 + 12b + 5y + -6y = 0 Combine like terms: 5y + -6y = -1y 24 + 12b + -1y = 0 Solving 24 + 12b + -1y = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 12b + -24 + -1y = 0 + -24 Reorder the terms: 24 + -24 + 12b + -1y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 12b + -1y = 0 + -24 12b + -1y = 0 + -24 Combine like terms: 0 + -24 = -24 12b + -1y = -24 Add 'y' to each side of the equation. 12b + -1y + y = -24 + y Combine like terms: -1y + y = 0 12b + 0 = -24 + y 12b = -24 + y Divide each side by '12'. b = -2 + 0.08333333333y Simplifying b = -2 + 0.08333333333y
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