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Simplifying 5y(f + -2) + 6 = 16 Reorder the terms: 5y(-2 + f) + 6 = 16 (-2 * 5y + f * 5y) + 6 = 16 Reorder the terms: (5fy + -10y) + 6 = 16 (5fy + -10y) + 6 = 16 Reorder the terms: 6 + 5fy + -10y = 16 Solving 6 + 5fy + -10y = 16 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 5fy + -6 + -10y = 16 + -6 Reorder the terms: 6 + -6 + 5fy + -10y = 16 + -6 Combine like terms: 6 + -6 = 0 0 + 5fy + -10y = 16 + -6 5fy + -10y = 16 + -6 Combine like terms: 16 + -6 = 10 5fy + -10y = 10 Add '10y' to each side of the equation. 5fy + -10y + 10y = 10 + 10y Combine like terms: -10y + 10y = 0 5fy + 0 = 10 + 10y 5fy = 10 + 10y Divide each side by '5y'. f = 2y-1 + 2 Simplifying f = 2y-1 + 2 Reorder the terms: f = 2 + 2y-1
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