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Simplifying 2(f + 3) + -2.7 = 3(y + -4) + -2 Reorder the terms: 2(3 + f) + -2.7 = 3(y + -4) + -2 (3 * 2 + f * 2) + -2.7 = 3(y + -4) + -2 (6 + 2f) + -2.7 = 3(y + -4) + -2 Reorder the terms: 6 + -2.7 + 2f = 3(y + -4) + -2 Combine like terms: 6 + -2.7 = 3.3 3.3 + 2f = 3(y + -4) + -2 Reorder the terms: 3.3 + 2f = 3(-4 + y) + -2 3.3 + 2f = (-4 * 3 + y * 3) + -2 3.3 + 2f = (-12 + 3y) + -2 Reorder the terms: 3.3 + 2f = -12 + -2 + 3y Combine like terms: -12 + -2 = -14 3.3 + 2f = -14 + 3y Solving 3.3 + 2f = -14 + 3y Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3.3' to each side of the equation. 3.3 + -3.3 + 2f = -14 + -3.3 + 3y Combine like terms: 3.3 + -3.3 = 0.0 0.0 + 2f = -14 + -3.3 + 3y 2f = -14 + -3.3 + 3y Combine like terms: -14 + -3.3 = -17.3 2f = -17.3 + 3y Divide each side by '2'. f = -8.65 + 1.5y Simplifying f = -8.65 + 1.5y
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