Solve 5(y+2)-(y-1)=3

$$5 ( y + 2 ) - ( y - 1 ) = 3$$

Solve for y

$$y=-2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by y+2.

$$5y+10-\left(y-1\right)=3$$

To find the opposite of y-1, find the opposite of each term.

$$5y+10-y-\left(-1\right)=3$$

The opposite of -1 is 1.

$$5y+10-y+1=3$$

Combine 5y and -y to get 4y.

$$4y+10+1=3$$

Add 10 and 1 to get 11.

$$4y+11=3$$

Subtract 11 from both sides.

$$4y=3-11$$

Subtract 11 from 3 to get -8.

$$4y=-8$$

Divide both sides by 4.

$$y=\frac{-8}{4}$$

Divide -8 by 4 to get -2.

$$y=-2$$