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Simplifying 5b + 3(b + -4y) = 2(y + 2) 5b + (b * 3 + -4y * 3) = 2(y + 2) 5b + (3b + -12y) = 2(y + 2) Combine like terms: 5b + 3b = 8b 8b + -12y = 2(y + 2) Reorder the terms: 8b + -12y = 2(2 + y) 8b + -12y = (2 * 2 + y * 2) 8b + -12y = (4 + 2y) Solving 8b + -12y = 4 + 2y Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12y' to each side of the equation. 8b + -12y + 12y = 4 + 2y + 12y Combine like terms: -12y + 12y = 0 8b + 0 = 4 + 2y + 12y 8b = 4 + 2y + 12y Combine like terms: 2y + 12y = 14y 8b = 4 + 14y Divide each side by '8'. b = 0.5 + 1.75y Simplifying b = 0.5 + 1.75y
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