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Simplifying (-4y + -9z) + -1(6y + -5z) = 0 Remove parenthesis around (-4y + -9z) -4y + -9z + -1(6y + -5z) = 0 -4y + -9z + (6y * -1 + -5z * -1) = 0 -4y + -9z + (-6y + 5z) = 0 Reorder the terms: -4y + -6y + -9z + 5z = 0 Combine like terms: -4y + -6y = -10y -10y + -9z + 5z = 0 Combine like terms: -9z + 5z = -4z -10y + -4z = 0 Solving -10y + -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. -10y + -4z + 4z = 0 + 4z Combine like terms: -4z + 4z = 0 -10y + 0 = 0 + 4z -10y = 0 + 4z Remove the zero: -10y = 4z Divide each side by '-10'. y = -0.4z Simplifying y = -0.4z
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