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Simplifying 2y + -3b = 5y + -9b Reorder the terms: -3b + 2y = 5y + -9b Reorder the terms: -3b + 2y = -9b + 5y Solving -3b + 2y = -9b + 5y Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '9b' to each side of the equation. -3b + 9b + 2y = -9b + 9b + 5y Combine like terms: -3b + 9b = 6b 6b + 2y = -9b + 9b + 5y Combine like terms: -9b + 9b = 0 6b + 2y = 0 + 5y 6b + 2y = 5y Add '-2y' to each side of the equation. 6b + 2y + -2y = 5y + -2y Combine like terms: 2y + -2y = 0 6b + 0 = 5y + -2y 6b = 5y + -2y Combine like terms: 5y + -2y = 3y 6b = 3y Divide each side by '6'. b = 0.5y Simplifying b = 0.5y
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