Solve 5/7y+2=1/2y+31/4

$$\frac { 5 } { 7 } y + 2 = \frac { 1 } { 2 } y + 3 \frac { 1 } { 4 }$$

Solve for y

$$y = \frac{35}{6} = 5\frac{5}{6} \approx 5.833333333$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 28, the least common multiple of 7,2,4.

$$20y+56=14y+7\left(3\times 4+1\right)$$

Multiply 3 and 4 to get 12.

$$20y+56=14y+7\left(12+1\right)$$

Add 12 and 1 to get 13.

$$20y+56=14y+7\times 13$$

Multiply 7 and 13 to get 91.

$$20y+56=14y+91$$

Subtract 14y from both sides.

$$20y+56-14y=91$$

Combine 20y and -14y to get 6y.

$$6y+56=91$$

Subtract 56 from both sides.

$$6y=91-56$$

Subtract 56 from 91 to get 35.

$$6y=35$$

Divide both sides by 6.

$$y=\frac{35}{6}$$