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

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

Solve for y

$$y=-4$$

Steps for Solving Linear Equation

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

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

Combine 5y and y to get 6y.

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

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

$$6y+10=3y-3+1$$

Add -3 and 1 to get -2.

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

Subtract 3y from both sides.

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

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

$$3y+10=-2$$

Subtract 10 from both sides.

$$3y=-2-10$$

Subtract 10 from -2 to get -12.

$$3y=-12$$

Divide both sides by 3.

$$y=\frac{-12}{3}$$

Divide -12 by 3 to get -4.

$$y=-4$$