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Simplifying 8y + -9z + -10y + 3z = 0 Reorder the terms: 8y + -10y + -9z + 3z = 0 Combine like terms: 8y + -10y = -2y -2y + -9z + 3z = 0 Combine like terms: -9z + 3z = -6z -2y + -6z = 0 Solving -2y + -6z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6z' to each side of the equation. -2y + -6z + 6z = 0 + 6z Combine like terms: -6z + 6z = 0 -2y + 0 = 0 + 6z -2y = 0 + 6z Remove the zero: -2y = 6z Divide each side by '-2'. y = -3z Simplifying y = -3z
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