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Simplifying -6y + -2(-6z + 6y) + 3z = 0 Reorder the terms: -6y + -2(6y + -6z) + 3z = 0 -6y + (6y * -2 + -6z * -2) + 3z = 0 -6y + (-12y + 12z) + 3z = 0 Combine like terms: -6y + -12y = -18y -18y + 12z + 3z = 0 Combine like terms: 12z + 3z = 15z -18y + 15z = 0 Solving -18y + 15z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15z' to each side of the equation. -18y + 15z + -15z = 0 + -15z Combine like terms: 15z + -15z = 0 -18y + 0 = 0 + -15z -18y = 0 + -15z Remove the zero: -18y = -15z Divide each side by '-18'. y = 0.8333333333z Simplifying y = 0.8333333333z
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