Solve 4y+4(y-3)=2(y-1)

$$4 y + 4 ( y - 3 ) = 2 ( y - 1 )$$

Solve for y

$$y = \frac{5}{3} = 1\frac{2}{3} \approx 1.666666667$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by y-3.

$$4y+4y-12=2\left(y-1\right)$$

Combine 4y and 4y to get 8y.

$$8y-12=2\left(y-1\right)$$

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

$$8y-12=2y-2$$

Subtract 2y from both sides.

$$8y-12-2y=-2$$

Combine 8y and -2y to get 6y.

$$6y-12=-2$$

Add 12 to both sides.

$$6y=-2+12$$

Add -2 and 12 to get 10.

$$6y=10$$

Divide both sides by 6.

$$y=\frac{10}{6}$$

Reduce the fraction \frac{10}{6} to lowest terms by extracting and canceling out 2.

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