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Simplifying 2(b + 5) = 3(3y + 4) Reorder the terms: 2(5 + b) = 3(3y + 4) (5 * 2 + b * 2) = 3(3y + 4) (10 + 2b) = 3(3y + 4) Reorder the terms: 10 + 2b = 3(4 + 3y) 10 + 2b = (4 * 3 + 3y * 3) 10 + 2b = (12 + 9y) Solving 10 + 2b = 12 + 9y Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 2b = 12 + -10 + 9y Combine like terms: 10 + -10 = 0 0 + 2b = 12 + -10 + 9y 2b = 12 + -10 + 9y Combine like terms: 12 + -10 = 2 2b = 2 + 9y Divide each side by '2'. b = 1 + 4.5y Simplifying b = 1 + 4.5y
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