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Simplifying 3(4yq + 1) + -5y = 0 Reorder the terms: 3(1 + 4qy) + -5y = 0 (1 * 3 + 4qy * 3) + -5y = 0 (3 + 12qy) + -5y = 0 Solving 3 + 12qy + -5y = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 12qy + -3 + -5y = 0 + -3 Reorder the terms: 3 + -3 + 12qy + -5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 12qy + -5y = 0 + -3 12qy + -5y = 0 + -3 Combine like terms: 0 + -3 = -3 12qy + -5y = -3 Add '5y' to each side of the equation. 12qy + -5y + 5y = -3 + 5y Combine like terms: -5y + 5y = 0 12qy + 0 = -3 + 5y 12qy = -3 + 5y Divide each side by '12y'. q = -0.25y-1 + 0.4166666667 Simplifying q = -0.25y-1 + 0.4166666667 Reorder the terms: q = 0.4166666667 + -0.25y-1
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