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Simplifying 2y + -2(1[6z + -3y] * 1) + 6z = 0 Reorder the terms: 2y + -2(1[-3y + 6z] * 1) + 6z = 0 Reorder the terms for easier multiplication: 2y + -2(1 * 1[-3y + 6z]) + 6z = 0 Multiply 1 * 1 2y + -2(1[-3y + 6z]) + 6z = 0 2y + -2([-3y * 1 + 6z * 1]) + 6z = 0 2y + -2([-3y + 6z]) + 6z = 0 2y + (-3y * -2 + 6z * -2) + 6z = 0 2y + (6y + -12z) + 6z = 0 Combine like terms: 2y + 6y = 8y 8y + -12z + 6z = 0 Combine like terms: -12z + 6z = -6z 8y + -6z = 0 Solving 8y + -6z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6z' to each side of the equation. 8y + -6z + 6z = 0 + 6z Combine like terms: -6z + 6z = 0 8y + 0 = 0 + 6z 8y = 0 + 6z Remove the zero: 8y = 6z Divide each side by '8'. y = 0.75z Simplifying y = 0.75z
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