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Simplifying 5b + 3(3 + -4y) = 2(y + 2) 5b + (3 * 3 + -4y * 3) = 2(y + 2) 5b + (9 + -12y) = 2(y + 2) Reorder the terms: 9 + 5b + -12y = 2(y + 2) Reorder the terms: 9 + 5b + -12y = 2(2 + y) 9 + 5b + -12y = (2 * 2 + y * 2) 9 + 5b + -12y = (4 + 2y) Solving 9 + 5b + -12y = 4 + 2y Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 5b + -9 + -12y = 4 + -9 + 2y Reorder the terms: 9 + -9 + 5b + -12y = 4 + -9 + 2y Combine like terms: 9 + -9 = 0 0 + 5b + -12y = 4 + -9 + 2y 5b + -12y = 4 + -9 + 2y Combine like terms: 4 + -9 = -5 5b + -12y = -5 + 2y Add '12y' to each side of the equation. 5b + -12y + 12y = -5 + 2y + 12y Combine like terms: -12y + 12y = 0 5b + 0 = -5 + 2y + 12y 5b = -5 + 2y + 12y Combine like terms: 2y + 12y = 14y 5b = -5 + 14y Divide each side by '5'. b = -1 + 2.8y Simplifying b = -1 + 2.8y
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