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Simplifying 3(1 + -3y + -1z) + y + -2z = -3 (1 * 3 + -3y * 3 + -1z * 3) + y + -2z = -3 (3 + -9y + -3z) + y + -2z = -3 Reorder the terms: 3 + -9y + y + -3z + -2z = -3 Combine like terms: -9y + y = -8y 3 + -8y + -3z + -2z = -3 Combine like terms: -3z + -2z = -5z 3 + -8y + -5z = -3 Solving 3 + -8y + -5z = -3 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 + -8y + -3 + -5z = -3 + -3 Reorder the terms: 3 + -3 + -8y + -5z = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -8y + -5z = -3 + -3 -8y + -5z = -3 + -3 Combine like terms: -3 + -3 = -6 -8y + -5z = -6 Add '5z' to each side of the equation. -8y + -5z + 5z = -6 + 5z Combine like terms: -5z + 5z = 0 -8y + 0 = -6 + 5z -8y = -6 + 5z Divide each side by '-8'. y = 0.75 + -0.625z Simplifying y = 0.75 + -0.625z
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