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Simplifying 14x + -1y + -7(2x + -2y + 3z) = 0 14x + -1y + (2x * -7 + -2y * -7 + 3z * -7) = 0 14x + -1y + (-14x + 14y + -21z) = 0 Reorder the terms: 14x + -14x + -1y + 14y + -21z = 0 Combine like terms: 14x + -14x = 0 0 + -1y + 14y + -21z = 0 -1y + 14y + -21z = 0 Combine like terms: -1y + 14y = 13y 13y + -21z = 0 Solving 13y + -21z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21z' to each side of the equation. 13y + -21z + 21z = 0 + 21z Combine like terms: -21z + 21z = 0 13y + 0 = 0 + 21z 13y = 0 + 21z Remove the zero: 13y = 21z Divide each side by '13'. y = 1.615384615z Simplifying y = 1.615384615z
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