Solve 3(y-2)+5=2(3y-5)

$$3(y-2)+5=2(3y-5)$$

Solve for y

$$y=3$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by y-2.

$$3y-6+5=2\left(3y-5\right)$$

Add -6 and 5 to get -1.

$$3y-1=2\left(3y-5\right)$$

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

$$3y-1=6y-10$$

Subtract 6y from both sides.

$$3y-1-6y=-10$$

Combine 3y and -6y to get -3y.

$$-3y-1=-10$$

Add 1 to both sides.

$$-3y=-10+1$$

Add -10 and 1 to get -9.

$$-3y=-9$$

Divide both sides by -3.

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

Divide -9 by -3 to get 3.

$$y=3$$