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Simplifying 10y + 7y + 6b + 3d = 0 Reorder the terms: 6b + 3d + 10y + 7y = 0 Combine like terms: 10y + 7y = 17y 6b + 3d + 17y = 0 Solving 6b + 3d + 17y = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3d' to each side of the equation. 6b + 3d + -3d + 17y = 0 + -3d Combine like terms: 3d + -3d = 0 6b + 0 + 17y = 0 + -3d 6b + 17y = 0 + -3d Remove the zero: 6b + 17y = -3d Add '-17y' to each side of the equation. 6b + 17y + -17y = -3d + -17y Combine like terms: 17y + -17y = 0 6b + 0 = -3d + -17y 6b = -3d + -17y Divide each side by '6'. b = -0.5d + -2.833333333y Simplifying b = -0.5d + -2.833333333y
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