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Simplifying f(x + y) + -1y3 + -6y = f(x) + -5xy (x * f + y * f) + -1y3 + -6y = f(x) + -5xy (fx + fy) + -1y3 + -6y = f(x) + -5xy Reorder the terms: fx + fy + -6y + -1y3 = f(x) + -5xy Multiply f * x fx + fy + -6y + -1y3 = fx + -5xy Add '-1fx' to each side of the equation. fx + fy + -6y + -1fx + -1y3 = fx + -1fx + -5xy Reorder the terms: fx + -1fx + fy + -6y + -1y3 = fx + -1fx + -5xy Combine like terms: fx + -1fx = 0 0 + fy + -6y + -1y3 = fx + -1fx + -5xy fy + -6y + -1y3 = fx + -1fx + -5xy Combine like terms: fx + -1fx = 0 fy + -6y + -1y3 = 0 + -5xy fy + -6y + -1y3 = -5xy Solving fy + -6y + -1y3 = -5xy Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '6y' to each side of the equation. fy + -6y + 6y + -1y3 = -5xy + 6y Combine like terms: -6y + 6y = 0 fy + 0 + -1y3 = -5xy + 6y fy + -1y3 = -5xy + 6y Add 'y3' to each side of the equation. fy + -1y3 + y3 = -5xy + 6y + y3 Combine like terms: -1y3 + y3 = 0 fy + 0 = -5xy + 6y + y3 fy = -5xy + 6y + y3 Divide each side by 'y'. f = -5x + 6 + y2 Simplifying f = -5x + 6 + y2 Reorder the terms: f = 6 + -5x + y2
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