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Simplifying 2y + 3z + -6y + (-5z) = 0 Reorder the terms: 2y + -6y + 3z + (-5z) = 0 Combine like terms: 2y + -6y = -4y -4y + 3z + (-5z) = 0 Combine like terms: 3z + (-5z) = -2z -4y + -2z = 0 Solving -4y + -2z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2z' to each side of the equation. -4y + -2z + 2z = 0 + 2z Combine like terms: -2z + 2z = 0 -4y + 0 = 0 + 2z -4y = 0 + 2z Remove the zero: -4y = 2z Divide each side by '-4'. y = -0.5z Simplifying y = -0.5z
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