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

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

Solve for y

$$y=1$$

Steps for Solving Linear Equation

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

$$6y-10-2=3\left(y-3\right)$$

Subtract 2 from -10 to get -12.

$$6y-12=3\left(y-3\right)$$

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

$$6y-12=3y-9$$

Subtract 3y from both sides.

$$6y-12-3y=-9$$

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

$$3y-12=-9$$

Add 12 to both sides.

$$3y=-9+12$$

Add -9 and 12 to get 3.

$$3y=3$$

Divide both sides by 3.

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

Divide 3 by 3 to get 1.

$$y=1$$