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Simplifying -1(z + -4y) + -1[3 + -1(4z + 2y)] = 0 Reorder the terms: -1(-4y + z) + -1[3 + -1(4z + 2y)] = 0 (-4y * -1 + z * -1) + -1[3 + -1(4z + 2y)] = 0 (4y + -1z) + -1[3 + -1(4z + 2y)] = 0 Reorder the terms: 4y + -1z + -1[3 + -1(2y + 4z)] = 0 4y + -1z + -1[3 + (2y * -1 + 4z * -1)] = 0 4y + -1z + -1[3 + (-2y + -4z)] = 0 4y + -1z + [3 * -1 + -2y * -1 + -4z * -1] = 0 4y + -1z + [-3 + 2y + 4z] = 0 Reorder the terms: -3 + 4y + 2y + -1z + 4z = 0 Combine like terms: 4y + 2y = 6y -3 + 6y + -1z + 4z = 0 Combine like terms: -1z + 4z = 3z -3 + 6y + 3z = 0 Solving -3 + 6y + 3z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 6y + 3 + 3z = 0 + 3 Reorder the terms: -3 + 3 + 6y + 3z = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 6y + 3z = 0 + 3 6y + 3z = 0 + 3 Combine like terms: 0 + 3 = 3 6y + 3z = 3 Add '-3z' to each side of the equation. 6y + 3z + -3z = 3 + -3z Combine like terms: 3z + -3z = 0 6y + 0 = 3 + -3z 6y = 3 + -3z Divide each side by '6'. y = 0.5 + -0.5z Simplifying y = 0.5 + -0.5z
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