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Simplifying -6(-1y + -2z) + 3(-5z + -6y) = 0 (-1y * -6 + -2z * -6) + 3(-5z + -6y) = 0 (6y + 12z) + 3(-5z + -6y) = 0 Reorder the terms: 6y + 12z + 3(-6y + -5z) = 0 6y + 12z + (-6y * 3 + -5z * 3) = 0 6y + 12z + (-18y + -15z) = 0 Reorder the terms: 6y + -18y + 12z + -15z = 0 Combine like terms: 6y + -18y = -12y -12y + 12z + -15z = 0 Combine like terms: 12z + -15z = -3z -12y + -3z = 0 Solving -12y + -3z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3z' to each side of the equation. -12y + -3z + 3z = 0 + 3z Combine like terms: -3z + 3z = 0 -12y + 0 = 0 + 3z -12y = 0 + 3z Remove the zero: -12y = 3z Divide each side by '-12'. y = -0.25z Simplifying y = -0.25z
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