Solve 7(3-y)+8=12(3-y)

$$7 ( 3 - y ) + 8 = 12 ( 3 - y )$$

Solve for y

$$y = \frac{7}{5} = 1\frac{2}{5} = 1.4$$

Steps for Solving Linear Equation

Use the distributive property to multiply 7 by 3-y.

$$21-7y+8=12\left(3-y\right)$$

Add 21 and 8 to get 29.

$$29-7y=12\left(3-y\right)$$

Use the distributive property to multiply 12 by 3-y.

$$29-7y=36-12y$$

Add 12y to both sides.

$$29-7y+12y=36$$

Combine -7y and 12y to get 5y.

$$29+5y=36$$

Subtract 29 from both sides.

$$5y=36-29$$

Subtract 29 from 36 to get 7.

$$5y=7$$

Divide both sides by 5.

$$y=\frac{7}{5}$$