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Simplifying -3(4y + 2z) + 5(-6z + 3y) = 0 (4y * -3 + 2z * -3) + 5(-6z + 3y) = 0 (-12y + -6z) + 5(-6z + 3y) = 0 Reorder the terms: -12y + -6z + 5(3y + -6z) = 0 -12y + -6z + (3y * 5 + -6z * 5) = 0 -12y + -6z + (15y + -30z) = 0 Reorder the terms: -12y + 15y + -6z + -30z = 0 Combine like terms: -12y + 15y = 3y 3y + -6z + -30z = 0 Combine like terms: -6z + -30z = -36z 3y + -36z = 0 Solving 3y + -36z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36z' to each side of the equation. 3y + -36z + 36z = 0 + 36z Combine like terms: -36z + 36z = 0 3y + 0 = 0 + 36z 3y = 0 + 36z Remove the zero: 3y = 36z Divide each side by '3'. y = 12z Simplifying y = 12z
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