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Simplifying (2 + -1z) + -1y + -1z = -8 Remove parenthesis around (2 + -1z) 2 + -1z + -1y + -1z = -8 Reorder the terms: 2 + -1y + -1z + -1z = -8 Combine like terms: -1z + -1z = -2z 2 + -1y + -2z = -8 Solving 2 + -1y + -2z = -8 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1y + -2 + -2z = -8 + -2 Reorder the terms: 2 + -2 + -1y + -2z = -8 + -2 Combine like terms: 2 + -2 = 0 0 + -1y + -2z = -8 + -2 -1y + -2z = -8 + -2 Combine like terms: -8 + -2 = -10 -1y + -2z = -10 Add '2z' to each side of the equation. -1y + -2z + 2z = -10 + 2z Combine like terms: -2z + 2z = 0 -1y + 0 = -10 + 2z -1y = -10 + 2z Divide each side by '-1'. y = 10 + -2z Simplifying y = 10 + -2z
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