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Simplifying 4z + -5y + 1 + -1z + y = 0 Reorder the terms: 1 + -5y + y + 4z + -1z = 0 Combine like terms: -5y + y = -4y 1 + -4y + 4z + -1z = 0 Combine like terms: 4z + -1z = 3z 1 + -4y + 3z = 0 Solving 1 + -4y + 3z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -4y + -1 + 3z = 0 + -1 Reorder the terms: 1 + -1 + -4y + 3z = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y + 3z = 0 + -1 -4y + 3z = 0 + -1 Combine like terms: 0 + -1 = -1 -4y + 3z = -1 Add '-3z' to each side of the equation. -4y + 3z + -3z = -1 + -3z Combine like terms: 3z + -3z = 0 -4y + 0 = -1 + -3z -4y = -1 + -3z Divide each side by '-4'. y = 0.25 + 0.75z Simplifying y = 0.25 + 0.75z
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