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Simplifying 2(c + y) + 3(b + c) = 0 (c * 2 + y * 2) + 3(b + c) = 0 (2c + 2y) + 3(b + c) = 0 2c + 2y + (b * 3 + c * 3) = 0 2c + 2y + (3b + 3c) = 0 Reorder the terms: 3b + 2c + 3c + 2y = 0 Combine like terms: 2c + 3c = 5c 3b + 5c + 2y = 0 Solving 3b + 5c + 2y = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5c' to each side of the equation. 3b + 5c + -5c + 2y = 0 + -5c Combine like terms: 5c + -5c = 0 3b + 0 + 2y = 0 + -5c 3b + 2y = 0 + -5c Remove the zero: 3b + 2y = -5c Add '-2y' to each side of the equation. 3b + 2y + -2y = -5c + -2y Combine like terms: 2y + -2y = 0 3b + 0 = -5c + -2y 3b = -5c + -2y Divide each side by '3'. b = -1.666666667c + -0.6666666667y Simplifying b = -1.666666667c + -0.6666666667y
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