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Simplifying 2y + -2(-2z + 3y) + -3z = 0 Reorder the terms: 2y + -2(3y + -2z) + -3z = 0 2y + (3y * -2 + -2z * -2) + -3z = 0 2y + (-6y + 4z) + -3z = 0 Combine like terms: 2y + -6y = -4y -4y + 4z + -3z = 0 Combine like terms: 4z + -3z = 1z -4y + 1z = 0 Solving -4y + 1z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. -4y + 1z + -1z = 0 + -1z Combine like terms: 1z + -1z = 0 -4y + 0 = 0 + -1z -4y = 0 + -1z Remove the zero: -4y = -1z Divide each side by '-4'. y = 0.25z Simplifying y = 0.25z
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