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Simplifying 3y2 + -4Y3 + 8y2 + -6y3 + -6y2 = 0 Reorder the terms: -4Y3 + 3y2 + 8y2 + -6y2 + -6y3 = 0 Combine like terms: 3y2 + 8y2 = 11y2 -4Y3 + 11y2 + -6y2 + -6y3 = 0 Combine like terms: 11y2 + -6y2 = 5y2 -4Y3 + 5y2 + -6y3 = 0 Solving -4Y3 + 5y2 + -6y3 = 0 Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-5y2' to each side of the equation. -4Y3 + 5y2 + -5y2 + -6y3 = 0 + -5y2 Combine like terms: 5y2 + -5y2 = 0 -4Y3 + 0 + -6y3 = 0 + -5y2 -4Y3 + -6y3 = 0 + -5y2 Remove the zero: -4Y3 + -6y3 = -5y2 Add '6y3' to each side of the equation. -4Y3 + -6y3 + 6y3 = -5y2 + 6y3 Combine like terms: -6y3 + 6y3 = 0 -4Y3 + 0 = -5y2 + 6y3 -4Y3 = -5y2 + 6y3 Divide each side by '-4'. Y3 = 1.25y2 + -1.5y3 Simplifying Y3 = 1.25y2 + -1.5y3 Reorder the terms: Y3 + -1.25y2 + 1.5y3 = 1.25y2 + -1.25y2 + -1.5y3 + 1.5y3 Combine like terms: 1.25y2 + -1.25y2 = 0.00 Y3 + -1.25y2 + 1.5y3 = 0.00 + -1.5y3 + 1.5y3 Y3 + -1.25y2 + 1.5y3 = -1.5y3 + 1.5y3 Combine like terms: -1.5y3 + 1.5y3 = 0.0 Y3 + -1.25y2 + 1.5y3 = 0.0 The solution to this equation could not be determined.
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