Solve 4y/3-7=2/5y

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

Solve for y

$$y = \frac{15}{2} = 7\frac{1}{2} = 7.5$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 15, the least common multiple of 3,5.

$$5\times 4y-105=6y$$

Multiply 5 and 4 to get 20.

$$20y-105=6y$$

Subtract 6y from both sides.

$$20y-105-6y=0$$

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

$$14y-105=0$$

Add 105 to both sides. Anything plus zero gives itself.

$$14y=105$$

Divide both sides by 14.

$$y=\frac{105}{14}$$

Reduce the fraction \frac{105}{14} to lowest terms by extracting and canceling out 7.

$$y=\frac{15}{2}$$