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Simplifying 6(y + -1z) = 8 + -2y (y * 6 + -1z * 6) = 8 + -2y (6y + -6z) = 8 + -2y Solving 6y + -6z = 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. 6y + 2y + -6z = 8 + -2y + 2y Combine like terms: 6y + 2y = 8y 8y + -6z = 8 + -2y + 2y Combine like terms: -2y + 2y = 0 8y + -6z = 8 + 0 8y + -6z = 8 Add '6z' to each side of the equation. 8y + -6z + 6z = 8 + 6z Combine like terms: -6z + 6z = 0 8y + 0 = 8 + 6z 8y = 8 + 6z Divide each side by '8'. y = 1 + 0.75z Simplifying y = 1 + 0.75z
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