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Simplifying 2(4 + 3y) + qy = 8 (4 * 2 + 3y * 2) + qy = 8 (8 + 6y) + qy = 8 Reorder the terms: 8 + qy + 6y = 8 Add '-8' to each side of the equation. 8 + qy + -8 + 6y = 8 + -8 Reorder the terms: 8 + -8 + qy + 6y = 8 + -8 Combine like terms: 8 + -8 = 0 0 + qy + 6y = 8 + -8 qy + 6y = 8 + -8 Combine like terms: 8 + -8 = 0 qy + 6y = 0 Solving qy + 6y = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6y' to each side of the equation. qy + 6y + -6y = 0 + -6y Combine like terms: 6y + -6y = 0 qy + 0 = 0 + -6y qy = 0 + -6y Remove the zero: qy = -6y Divide each side by 'y'. q = -6 Simplifying q = -6
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