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Simplifying 3y + 4 + 6z + 6y = 0 Reorder the terms: 4 + 3y + 6y + 6z = 0 Combine like terms: 3y + 6y = 9y 4 + 9y + 6z = 0 Solving 4 + 9y + 6z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 9y + -4 + 6z = 0 + -4 Reorder the terms: 4 + -4 + 9y + 6z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 9y + 6z = 0 + -4 9y + 6z = 0 + -4 Combine like terms: 0 + -4 = -4 9y + 6z = -4 Add '-6z' to each side of the equation. 9y + 6z + -6z = -4 + -6z Combine like terms: 6z + -6z = 0 9y + 0 = -4 + -6z 9y = -4 + -6z Divide each side by '9'. y = -0.4444444444 + -0.6666666667z Simplifying y = -0.4444444444 + -0.6666666667z
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