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Simplifying (9y + 2z) + (3y + -5z) + -1(y + z) = 0 Remove parenthesis around (9y + 2z) 9y + 2z + (3y + -5z) + -1(y + z) = 0 Remove parenthesis around (3y + -5z) 9y + 2z + 3y + -5z + -1(y + z) = 0 9y + 2z + 3y + -5z + (y * -1 + z * -1) = 0 9y + 2z + 3y + -5z + (-1y + -1z) = 0 Reorder the terms: 9y + 3y + -1y + 2z + -5z + -1z = 0 Combine like terms: 9y + 3y = 12y 12y + -1y + 2z + -5z + -1z = 0 Combine like terms: 12y + -1y = 11y 11y + 2z + -5z + -1z = 0 Combine like terms: 2z + -5z = -3z 11y + -3z + -1z = 0 Combine like terms: -3z + -1z = -4z 11y + -4z = 0 Solving 11y + -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. 11y + -4z + 4z = 0 + 4z Combine like terms: -4z + 4z = 0 11y + 0 = 0 + 4z 11y = 0 + 4z Remove the zero: 11y = 4z Divide each side by '11'. y = 0.3636363636z Simplifying y = 0.3636363636z
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