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