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Simplifying 3(2(-1y2 + y) + -3) + -3(2x + y) = 0 Reorder the terms: 3(2(y + -1y2) + -3) + -3(2x + y) = 0 3((y * 2 + -1y2 * 2) + -3) + -3(2x + y) = 0 3((2y + -2y2) + -3) + -3(2x + y) = 0 Reorder the terms: 3(-3 + 2y + -2y2) + -3(2x + y) = 0 (-3 * 3 + 2y * 3 + -2y2 * 3) + -3(2x + y) = 0 (-9 + 6y + -6y2) + -3(2x + y) = 0 -9 + 6y + -6y2 + (2x * -3 + y * -3) = 0 -9 + 6y + -6y2 + (-6x + -3y) = 0 Reorder the terms: -9 + -6x + 6y + -3y + -6y2 = 0 Combine like terms: 6y + -3y = 3y -9 + -6x + 3y + -6y2 = 0 Solving -9 + -6x + 3y + -6y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -6x + 3y + 9 + -6y2 = 0 + 9 Reorder the terms: -9 + 9 + -6x + 3y + -6y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -6x + 3y + -6y2 = 0 + 9 -6x + 3y + -6y2 = 0 + 9 Combine like terms: 0 + 9 = 9 -6x + 3y + -6y2 = 9 Add '-3y' to each side of the equation. -6x + 3y + -3y + -6y2 = 9 + -3y Combine like terms: 3y + -3y = 0 -6x + 0 + -6y2 = 9 + -3y -6x + -6y2 = 9 + -3y Add '6y2' to each side of the equation. -6x + -6y2 + 6y2 = 9 + -3y + 6y2 Combine like terms: -6y2 + 6y2 = 0 -6x + 0 = 9 + -3y + 6y2 -6x = 9 + -3y + 6y2 Divide each side by '-6'. x = -1.5 + 0.5y + -1y2 Simplifying x = -1.5 + 0.5y + -1y2
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