Solve -3(y-2)=10-2(3y-1)

$$- 3 ( y - 2 ) = 10 - 2 ( 3 y - 1 )$$

Solve for y

$$y=2$$

Steps for Solving Linear Equation

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

$$-3y+6=10-2\left(3y-1\right)$$

Use the distributive property to multiply -2 by 3y-1.

$$-3y+6=10-6y+2$$

Add 10 and 2 to get 12.

$$-3y+6=12-6y$$

Add 6y to both sides.

$$-3y+6+6y=12$$

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

$$3y+6=12$$

Subtract 6 from both sides.

$$3y=12-6$$

Subtract 6 from 12 to get 6.

$$3y=6$$

Divide both sides by 3.

$$y=\frac{6}{3}$$

Divide 6 by 3 to get 2.

$$y=2$$