Solve 2(3y+5)=3(5y+1/3)

$$2 ( 3 y + 5 ) = 3 ( 5 y + \frac { 1 } { 3 } )$$

Solve for y

$$y=1$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by 3y+5.

$$6y+10=3\left(5y+\frac{1}{3}\right)$$

Use the distributive property to multiply 3 by 5y+\frac{1}{3}.

$$6y+10=15y+3\times \frac{1}{3}$$

Cancel out 3 and 3.

$$6y+10=15y+1$$

Subtract 15y from both sides.

$$6y+10-15y=1$$

Combine 6y and -15y to get -9y.

$$-9y+10=1$$

Subtract 10 from both sides.

$$-9y=1-10$$

Subtract 10 from 1 to get -9.

$$-9y=-9$$

Divide both sides by -9.

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

Divide -9 by -9 to get 1.

$$y=1$$