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Simplifying -3y + -5(3z + -4y) + 5z = 0 Reorder the terms: -3y + -5(-4y + 3z) + 5z = 0 -3y + (-4y * -5 + 3z * -5) + 5z = 0 -3y + (20y + -15z) + 5z = 0 Combine like terms: -3y + 20y = 17y 17y + -15z + 5z = 0 Combine like terms: -15z + 5z = -10z 17y + -10z = 0 Solving 17y + -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. 17y + -10z + 10z = 0 + 10z Combine like terms: -10z + 10z = 0 17y + 0 = 0 + 10z 17y = 0 + 10z Remove the zero: 17y = 10z Divide each side by '17'. y = 0.5882352941z Simplifying y = 0.5882352941z
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