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Simplifying 2(4x + -2x + y) + -4(5z + x + -1y) = 0 Combine like terms: 4x + -2x = 2x 2(2x + y) + -4(5z + x + -1y) = 0 (2x * 2 + y * 2) + -4(5z + x + -1y) = 0 (4x + 2y) + -4(5z + x + -1y) = 0 Reorder the terms: 4x + 2y + -4(x + -1y + 5z) = 0 4x + 2y + (x * -4 + -1y * -4 + 5z * -4) = 0 4x + 2y + (-4x + 4y + -20z) = 0 Reorder the terms: 4x + -4x + 2y + 4y + -20z = 0 Combine like terms: 4x + -4x = 0 0 + 2y + 4y + -20z = 0 2y + 4y + -20z = 0 Combine like terms: 2y + 4y = 6y 6y + -20z = 0 Solving 6y + -20z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20z' to each side of the equation. 6y + -20z + 20z = 0 + 20z Combine like terms: -20z + 20z = 0 6y + 0 = 0 + 20z 6y = 0 + 20z Remove the zero: 6y = 20z Divide each side by '6'. y = 3.333333333z Simplifying y = 3.333333333z
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