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Simplifying 5y + -3z + 4y + -1z + -3y = 0 Reorder the terms: 5y + 4y + -3y + -3z + -1z = 0 Combine like terms: 5y + 4y = 9y 9y + -3y + -3z + -1z = 0 Combine like terms: 9y + -3y = 6y 6y + -3z + -1z = 0 Combine like terms: -3z + -1z = -4z 6y + -4z = 0 Solving 6y + -4z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4z' to each side of the equation. 6y + -4z + 4z = 0 + 4z Combine like terms: -4z + 4z = 0 6y + 0 = 0 + 4z 6y = 0 + 4z Remove the zero: 6y = 4z Divide each side by '6'. y = 0.6666666667z Simplifying y = 0.6666666667z
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