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Simplifying -5y + -2b + 3 + -6b + -10y + 9 = 0 Reorder the terms: 3 + 9 + -2b + -6b + -5y + -10y = 0 Combine like terms: 3 + 9 = 12 12 + -2b + -6b + -5y + -10y = 0 Combine like terms: -2b + -6b = -8b 12 + -8b + -5y + -10y = 0 Combine like terms: -5y + -10y = -15y 12 + -8b + -15y = 0 Solving 12 + -8b + -15y = 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 + -8b + -12 + -15y = 0 + -12 Reorder the terms: 12 + -12 + -8b + -15y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -8b + -15y = 0 + -12 -8b + -15y = 0 + -12 Combine like terms: 0 + -12 = -12 -8b + -15y = -12 Add '15y' to each side of the equation. -8b + -15y + 15y = -12 + 15y Combine like terms: -15y + 15y = 0 -8b + 0 = -12 + 15y -8b = -12 + 15y Divide each side by '-8'. b = 1.5 + -1.875y Simplifying b = 1.5 + -1.875y
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