1.

" 6."(4y+5)/(2y-3)=(9)/(13)

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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