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

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

Solve for y

$$y = \frac{9}{7} = 1\frac{2}{7} \approx 1.285714286$$

Steps for Solving Linear Equation

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

$$2y-2+3\left(y-1\right)=4-2y$$

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

$$2y-2+3y-3=4-2y$$

Combine 2y and 3y to get 5y.

$$5y-2-3=4-2y$$

Subtract 3 from -2 to get -5.

$$5y-5=4-2y$$

Add 2y to both sides.

$$5y-5+2y=4$$

Combine 5y and 2y to get 7y.

$$7y-5=4$$

Add 5 to both sides.

$$7y=4+5$$

Add 4 and 5 to get 9.

$$7y=9$$

Divide both sides by 7.

$$y=\frac{9}{7}$$