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Simplifying 4(f + 3) = 5(y + -1) + 3y Reorder the terms: 4(3 + f) = 5(y + -1) + 3y (3 * 4 + f * 4) = 5(y + -1) + 3y (12 + 4f) = 5(y + -1) + 3y Reorder the terms: 12 + 4f = 5(-1 + y) + 3y 12 + 4f = (-1 * 5 + y * 5) + 3y 12 + 4f = (-5 + 5y) + 3y Combine like terms: 5y + 3y = 8y 12 + 4f = -5 + 8y Solving 12 + 4f = -5 + 8y Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 4f = -5 + -12 + 8y Combine like terms: 12 + -12 = 0 0 + 4f = -5 + -12 + 8y 4f = -5 + -12 + 8y Combine like terms: -5 + -12 = -17 4f = -17 + 8y Divide each side by '4'. f = -4.25 + 2y Simplifying f = -4.25 + 2y
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