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Simplifying -1(9y + 4z + -10) + -1[3y + 6(z + -4)] = 0 Reorder the terms: -1(-10 + 9y + 4z) + -1[3y + 6(z + -4)] = 0 (-10 * -1 + 9y * -1 + 4z * -1) + -1[3y + 6(z + -4)] = 0 (10 + -9y + -4z) + -1[3y + 6(z + -4)] = 0 Reorder the terms: 10 + -9y + -4z + -1[3y + 6(-4 + z)] = 0 10 + -9y + -4z + -1[3y + (-4 * 6 + z * 6)] = 0 10 + -9y + -4z + -1[3y + (-24 + 6z)] = 0 Reorder the terms: 10 + -9y + -4z + -1[-24 + 3y + 6z] = 0 10 + -9y + -4z + [-24 * -1 + 3y * -1 + 6z * -1] = 0 10 + -9y + -4z + [24 + -3y + -6z] = 0 Reorder the terms: 10 + 24 + -9y + -3y + -4z + -6z = 0 Combine like terms: 10 + 24 = 34 34 + -9y + -3y + -4z + -6z = 0 Combine like terms: -9y + -3y = -12y 34 + -12y + -4z + -6z = 0 Combine like terms: -4z + -6z = -10z 34 + -12y + -10z = 0 Solving 34 + -12y + -10z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -12y + -34 + -10z = 0 + -34 Reorder the terms: 34 + -34 + -12y + -10z = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -12y + -10z = 0 + -34 -12y + -10z = 0 + -34 Combine like terms: 0 + -34 = -34 -12y + -10z = -34 Add '10z' to each side of the equation. -12y + -10z + 10z = -34 + 10z Combine like terms: -10z + 10z = 0 -12y + 0 = -34 + 10z -12y = -34 + 10z Divide each side by '-12'. y = 2.833333333 + -0.8333333333z Simplifying y = 2.833333333 + -0.8333333333z
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