Solve (3)3y-1/4-1=5y-7/6

$$( 3 ) \frac { 3 y - 1 } { 4 } - 1 = \frac { 5 y - 7 } { 6 }$$

Solve for y

$$y=\frac{7}{17}\approx 0.411764706$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,6.

$$9\left(3y-1\right)-12=2\left(5y-7\right)$$

Use the distributive property to multiply 9 by 3y-1.

$$27y-9-12=2\left(5y-7\right)$$

Subtract 12 from -9 to get -21.

$$27y-21=2\left(5y-7\right)$$

Use the distributive property to multiply 2 by 5y-7.

$$27y-21=10y-14$$

Subtract 10y from both sides.

$$27y-21-10y=-14$$

Combine 27y and -10y to get 17y.

$$17y-21=-14$$

Add 21 to both sides.

$$17y=-14+21$$

Add -14 and 21 to get 7.

$$17y=7$$

Divide both sides by 17.

$$y=\frac{7}{17}$$