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Simplifying 4(f + 3) + 5 = 5(y + -1) + 3y Reorder the terms: 4(3 + f) + 5 = 5(y + -1) + 3y (3 * 4 + f * 4) + 5 = 5(y + -1) + 3y (12 + 4f) + 5 = 5(y + -1) + 3y Reorder the terms: 12 + 5 + 4f = 5(y + -1) + 3y Combine like terms: 12 + 5 = 17 17 + 4f = 5(y + -1) + 3y Reorder the terms: 17 + 4f = 5(-1 + y) + 3y 17 + 4f = (-1 * 5 + y * 5) + 3y 17 + 4f = (-5 + 5y) + 3y Combine like terms: 5y + 3y = 8y 17 + 4f = -5 + 8y Solving 17 + 4f = -5 + 8y Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4f = -5 + -17 + 8y Combine like terms: 17 + -17 = 0 0 + 4f = -5 + -17 + 8y 4f = -5 + -17 + 8y Combine like terms: -5 + -17 = -22 4f = -22 + 8y Divide each side by '4'. f = -5.5 + 2y Simplifying f = -5.5 + 2y
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