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Simplifying Y + 4(7y + 5) = 20(y + 1) + 7y Reorder the terms: Y + 4(5 + 7y) = 20(y + 1) + 7y Y + (5 * 4 + 7y * 4) = 20(y + 1) + 7y Y + (20 + 28y) = 20(y + 1) + 7y Reorder the terms: 20 + Y + 28y = 20(y + 1) + 7y Reorder the terms: 20 + Y + 28y = 20(1 + y) + 7y 20 + Y + 28y = (1 * 20 + y * 20) + 7y 20 + Y + 28y = (20 + 20y) + 7y Combine like terms: 20y + 7y = 27y 20 + Y + 28y = 20 + 27y Add '-20' to each side of the equation. 20 + Y + -20 + 28y = 20 + -20 + 27y Reorder the terms: 20 + -20 + Y + 28y = 20 + -20 + 27y Combine like terms: 20 + -20 = 0 0 + Y + 28y = 20 + -20 + 27y Y + 28y = 20 + -20 + 27y Combine like terms: 20 + -20 = 0 Y + 28y = 0 + 27y Y + 28y = 27y Solving Y + 28y = 27y Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '-28y' to each side of the equation. Y + 28y + -28y = 27y + -28y Combine like terms: 28y + -28y = 0 Y + 0 = 27y + -28y Y = 27y + -28y Combine like terms: 27y + -28y = -1y Y = -1y Simplifying Y = -1y
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