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Simplifying 8(y + -1z) = 4y + -32 (y * 8 + -1z * 8) = 4y + -32 (8y + -8z) = 4y + -32 Reorder the terms: 8y + -8z = -32 + 4y Solving 8y + -8z = -32 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 8y + -4y + -8z = -32 + 4y + -4y Combine like terms: 8y + -4y = 4y 4y + -8z = -32 + 4y + -4y Combine like terms: 4y + -4y = 0 4y + -8z = -32 + 0 4y + -8z = -32 Add '8z' to each side of the equation. 4y + -8z + 8z = -32 + 8z Combine like terms: -8z + 8z = 0 4y + 0 = -32 + 8z 4y = -32 + 8z Divide each side by '4'. y = -8 + 2z Simplifying y = -8 + 2z
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