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Simplifying 0 = 2y + -6(3z + -2y) + 3z Reorder the terms: 0 = 2y + -6(-2y + 3z) + 3z 0 = 2y + (-2y * -6 + 3z * -6) + 3z 0 = 2y + (12y + -18z) + 3z Combine like terms: 2y + 12y = 14y 0 = 14y + -18z + 3z Combine like terms: -18z + 3z = -15z 0 = 14y + -15z Solving 0 = 14y + -15z Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. 0 + -14y = 14y + -14y + -15z Remove the zero: -14y = 14y + -14y + -15z Combine like terms: 14y + -14y = 0 -14y = 0 + -15z -14y = -15z Divide each side by '-14'. y = 1.071428571z Simplifying y = 1.071428571z
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