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Simplifying 5b + 3(b + -4) = 2(y + 2) Reorder the terms: 5b + 3(-4 + b) = 2(y + 2) 5b + (-4 * 3 + b * 3) = 2(y + 2) 5b + (-12 + 3b) = 2(y + 2) Reorder the terms: -12 + 5b + 3b = 2(y + 2) Combine like terms: 5b + 3b = 8b -12 + 8b = 2(y + 2) Reorder the terms: -12 + 8b = 2(2 + y) -12 + 8b = (2 * 2 + y * 2) -12 + 8b = (4 + 2y) Solving -12 + 8b = 4 + 2y 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 + 12 + 8b = 4 + 12 + 2y Combine like terms: -12 + 12 = 0 0 + 8b = 4 + 12 + 2y 8b = 4 + 12 + 2y Combine like terms: 4 + 12 = 16 8b = 16 + 2y Divide each side by '8'. b = 2 + 0.25y Simplifying b = 2 + 0.25y
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