Solve 10-3y/4=5-y/3

$$\frac { 10 - 3 y } { 4 } = \frac { 5 - y } { 3 }$$

Solve for y

$$y=2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 12, the least common multiple of 4,3.

$$3\left(10-3y\right)=4\left(5-y\right)$$

Use the distributive property to multiply 3 by 10-3y.

$$30-9y=4\left(5-y\right)$$

Use the distributive property to multiply 4 by 5-y.

$$30-9y=20-4y$$

Add 4y to both sides.

$$30-9y+4y=20$$

Combine -9y and 4y to get -5y.

$$30-5y=20$$

Subtract 30 from both sides.

$$-5y=20-30$$

Subtract 30 from 20 to get -10.

$$-5y=-10$$

Divide both sides by -5.

$$y=\frac{-10}{-5}$$

Divide -10 by -5 to get 2.

$$y=2$$