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Simplifying 1 = z + 3(z + -1y) Reorder the terms: 1 = z + 3(-1y + z) 1 = z + (-1y * 3 + z * 3) 1 = z + (-3y + 3z) Reorder the terms: 1 = -3y + z + 3z Combine like terms: z + 3z = 4z 1 = -3y + 4z Solving 1 = -3y + 4z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 1 + 3y = -3y + 3y + 4z Combine like terms: -3y + 3y = 0 1 + 3y = 0 + 4z 1 + 3y = 4z Add '-1' to each side of the equation. 1 + -1 + 3y = -1 + 4z Combine like terms: 1 + -1 = 0 0 + 3y = -1 + 4z 3y = -1 + 4z Divide each side by '3'. y = -0.3333333333 + 1.333333333z Simplifying y = -0.3333333333 + 1.333333333z
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