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Simplifying 2yf + -3(2y + -3) + 2 = 31 Reorder the terms: 2fy + -3(-3 + 2y) + 2 = 31 2fy + (-3 * -3 + 2y * -3) + 2 = 31 2fy + (9 + -6y) + 2 = 31 Reorder the terms: 9 + 2 + 2fy + -6y = 31 Combine like terms: 9 + 2 = 11 11 + 2fy + -6y = 31 Solving 11 + 2fy + -6y = 31 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 2fy + -11 + -6y = 31 + -11 Reorder the terms: 11 + -11 + 2fy + -6y = 31 + -11 Combine like terms: 11 + -11 = 0 0 + 2fy + -6y = 31 + -11 2fy + -6y = 31 + -11 Combine like terms: 31 + -11 = 20 2fy + -6y = 20 Add '6y' to each side of the equation. 2fy + -6y + 6y = 20 + 6y Combine like terms: -6y + 6y = 0 2fy + 0 = 20 + 6y 2fy = 20 + 6y Divide each side by '2y'. f = 10y-1 + 3 Simplifying f = 10y-1 + 3 Reorder the terms: f = 3 + 10y-1
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