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Simplifying -3(3y + -1z) + -5(6z + -7y) = 0 (3y * -3 + -1z * -3) + -5(6z + -7y) = 0 (-9y + 3z) + -5(6z + -7y) = 0 Reorder the terms: -9y + 3z + -5(-7y + 6z) = 0 -9y + 3z + (-7y * -5 + 6z * -5) = 0 -9y + 3z + (35y + -30z) = 0 Reorder the terms: -9y + 35y + 3z + -30z = 0 Combine like terms: -9y + 35y = 26y 26y + 3z + -30z = 0 Combine like terms: 3z + -30z = -27z 26y + -27z = 0 Solving 26y + -27z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '27z' to each side of the equation. 26y + -27z + 27z = 0 + 27z Combine like terms: -27z + 27z = 0 26y + 0 = 0 + 27z 26y = 0 + 27z Remove the zero: 26y = 27z Divide each side by '26'. y = 1.038461538z Simplifying y = 1.038461538z
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