Solve 5(y-7)/12=2/3

$$\frac { 5 ( y - 7 ) } { 12 } = \frac { 2 } { 3 }$$

Solve for y

$$y = \frac{43}{5} = 8\frac{3}{5} = 8.6$$

Steps for Solving Linear Equation

Multiply both sides by 12.

$$5\left(y-7\right)=\frac{2}{3}\times 12$$

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

$$5y-35=\frac{2}{3}\times 12$$

Express \frac{2}{3}\times 12 as a single fraction.

$$5y-35=\frac{2\times 12}{3}$$

Multiply 2 and 12 to get 24.

$$5y-35=\frac{24}{3}$$

Divide 24 by 3 to get 8.

$$5y-35=8$$

Add 35 to both sides.

$$5y=8+35$$

Add 8 and 35 to get 43.

$$5y=43$$

Divide both sides by 5.

$$y=\frac{43}{5}$$