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Simplifying -5y + -3(-2z + 4y) + 3z = 0 Reorder the terms: -5y + -3(4y + -2z) + 3z = 0 -5y + (4y * -3 + -2z * -3) + 3z = 0 -5y + (-12y + 6z) + 3z = 0 Combine like terms: -5y + -12y = -17y -17y + 6z + 3z = 0 Combine like terms: 6z + 3z = 9z -17y + 9z = 0 Solving -17y + 9z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9z' to each side of the equation. -17y + 9z + -9z = 0 + -9z Combine like terms: 9z + -9z = 0 -17y + 0 = 0 + -9z -17y = 0 + -9z Remove the zero: -17y = -9z Divide each side by '-17'. y = 0.5294117647z Simplifying y = 0.5294117647z
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