Solve (3y-9)=3/5(y+5)

$$(3y-9)= \frac{ 3 }{ 5 } (y+5)$$

Solve for y

$$y=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{3}{5} by y+5.

$$3y-9=\frac{3}{5}y+\frac{3}{5}\times 5$$

Cancel out 5 and 5.

$$3y-9=\frac{3}{5}y+3$$

Subtract \frac{3}{5}y from both sides.

$$3y-9-\frac{3}{5}y=3$$

Combine 3y and -\frac{3}{5}y to get \frac{12}{5}y.

$$\frac{12}{5}y-9=3$$

Add 9 to both sides.

$$\frac{12}{5}y=3+9$$

Add 3 and 9 to get 12.

$$\frac{12}{5}y=12$$

Multiply both sides by \frac{5}{12}, the reciprocal of \frac{12}{5}.

$$y=12\times \frac{5}{12}$$

Cancel out 12 and 12.

$$y=5$$