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Simplifying 6y + -5(-2z + 2y) + -3z = 0 Reorder the terms: 6y + -5(2y + -2z) + -3z = 0 6y + (2y * -5 + -2z * -5) + -3z = 0 6y + (-10y + 10z) + -3z = 0 Combine like terms: 6y + -10y = -4y -4y + 10z + -3z = 0 Combine like terms: 10z + -3z = 7z -4y + 7z = 0 Solving -4y + 7z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7z' to each side of the equation. -4y + 7z + -7z = 0 + -7z Combine like terms: 7z + -7z = 0 -4y + 0 = 0 + -7z -4y = 0 + -7z Remove the zero: -4y = -7z Divide each side by '-4'. y = 1.75z Simplifying y = 1.75z
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