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Simplifying 8.5 + -0.5y + -1z = 7 Solving 8.5 + -0.5y + -1z = 7 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8.5' to each side of the equation. 8.5 + -0.5y + -8.5 + -1z = 7 + -8.5 Reorder the terms: 8.5 + -8.5 + -0.5y + -1z = 7 + -8.5 Combine like terms: 8.5 + -8.5 = 0.0 0.0 + -0.5y + -1z = 7 + -8.5 -0.5y + -1z = 7 + -8.5 Combine like terms: 7 + -8.5 = -1.5 -0.5y + -1z = -1.5 Add 'z' to each side of the equation. -0.5y + -1z + z = -1.5 + z Combine like terms: -1z + z = 0 -0.5y + 0 = -1.5 + z -0.5y = -1.5 + z Divide each side by '-0.5'. y = 3 + -2z Simplifying y = 3 + -2z
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