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Simplifying 3(-4y + 2z) + -4(-1z + -5y) = 0 (-4y * 3 + 2z * 3) + -4(-1z + -5y) = 0 (-12y + 6z) + -4(-1z + -5y) = 0 Reorder the terms: -12y + 6z + -4(-5y + -1z) = 0 -12y + 6z + (-5y * -4 + -1z * -4) = 0 -12y + 6z + (20y + 4z) = 0 Reorder the terms: -12y + 20y + 6z + 4z = 0 Combine like terms: -12y + 20y = 8y 8y + 6z + 4z = 0 Combine like terms: 6z + 4z = 10z 8y + 10z = 0 Solving 8y + 10z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10z' to each side of the equation. 8y + 10z + -10z = 0 + -10z Combine like terms: 10z + -10z = 0 8y + 0 = 0 + -10z 8y = 0 + -10z Remove the zero: 8y = -10z Divide each side by '8'. y = -1.25z Simplifying y = -1.25z
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