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Simplifying 5(y + -1b) + 3b + -6y + 4(6 + b) = 0 Reorder the terms: 5(-1b + y) + 3b + -6y + 4(6 + b) = 0 (-1b * 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 = -2b 24 + -2b + 4b + 5y + -6y = 0 Combine like terms: -2b + 4b = 2b 24 + 2b + 5y + -6y = 0 Combine like terms: 5y + -6y = -1y 24 + 2b + -1y = 0 Solving 24 + 2b + -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 + 2b + -24 + -1y = 0 + -24 Reorder the terms: 24 + -24 + 2b + -1y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 2b + -1y = 0 + -24 2b + -1y = 0 + -24 Combine like terms: 0 + -24 = -24 2b + -1y = -24 Add 'y' to each side of the equation. 2b + -1y + y = -24 + y Combine like terms: -1y + y = 0 2b + 0 = -24 + y 2b = -24 + y Divide each side by '2'. b = -12 + 0.5y Simplifying b = -12 + 0.5y
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