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Simplifying -2(3y + -2z) + 5(-5z + -1y) = 0 (3y * -2 + -2z * -2) + 5(-5z + -1y) = 0 (-6y + 4z) + 5(-5z + -1y) = 0 Reorder the terms: -6y + 4z + 5(-1y + -5z) = 0 -6y + 4z + (-1y * 5 + -5z * 5) = 0 -6y + 4z + (-5y + -25z) = 0 Reorder the terms: -6y + -5y + 4z + -25z = 0 Combine like terms: -6y + -5y = -11y -11y + 4z + -25z = 0 Combine like terms: 4z + -25z = -21z -11y + -21z = 0 Solving -11y + -21z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21z' to each side of the equation. -11y + -21z + 21z = 0 + 21z Combine like terms: -21z + 21z = 0 -11y + 0 = 0 + 21z -11y = 0 + 21z Remove the zero: -11y = 21z Divide each side by '-11'. y = -1.909090909z Simplifying y = -1.909090909z
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