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Simplifying 2 + -4y + -2z = -38 Solving 2 + -4y + -2z = -38 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 + -4y + -2 + -2z = -38 + -2 Reorder the terms: 2 + -2 + -4y + -2z = -38 + -2 Combine like terms: 2 + -2 = 0 0 + -4y + -2z = -38 + -2 -4y + -2z = -38 + -2 Combine like terms: -38 + -2 = -40 -4y + -2z = -40 Add '2z' to each side of the equation. -4y + -2z + 2z = -40 + 2z Combine like terms: -2z + 2z = 0 -4y + 0 = -40 + 2z -4y = -40 + 2z Divide each side by '-4'. y = 10 + -0.5z Simplifying y = 10 + -0.5z
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