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Simplifying 4y + (-13z) + (-10y) + 17z = 0 Reorder the terms: 4y + (-10y) + (-13z) + 17z = 0 Combine like terms: 4y + (-10y) = -6y -6y + (-13z) + 17z = 0 Combine like terms: (-13z) + 17z = 4z -6y + 4z = 0 Solving -6y + 4z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4z' to each side of the equation. -6y + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 -6y + 0 = 0 + -4z -6y = 0 + -4z Remove the zero: -6y = -4z Divide each side by '-6'. y = 0.6666666667z Simplifying y = 0.6666666667z
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