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" 6."(4y+5)/(2y-3)=(9)/(13) |
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Answer» Simplify Left Side `24y / (2y - 3) + 30 / (2y - 3) = 9/13` Multiply To Both Sides `(24y / (2y - 3) + 30 / (2y - 3)) * (2y - 3) = (9/13) * (2y - 3)` Simplify Left Side `24y + 30 = (9/13) * (2y - 3)` Simplify Right Side `24y + 30 = 18y / 13 - 27/13` Subtract From Both Sides `(24y + 30) - 18/13 y = (18y / 13 - 27/13) - 18/13 y` Collect And Combine Like Terms `294/13 y + 30 = (18y / 13 - 27/13) - 18/13 y` Simplify Right Side `294/13 y + 30 = -27/13` Subtract From Both Sides `(294/13 y + 30) - 30 = (-27/13) - 30` Simplify Left Side `294/13 y = (-27/13) - 30` Simplify Arithmetic `294/13 y = -417/13` Multiply Both Sides By Inverse Fraction `294/13 y * 13/294 = (-417/13) * 13/294` Simplify Left Side `y = (-417/13) * 13/294` Simplify Right Side `y = -139/98` *y=-1.4183673469387754* |
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