Solve 4(y+1)+5=6(y-1)+y

$$4 ( y + 1 ) + 5 = 6 ( y - 1 ) + y$$

Solve for y

$$y=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by y+1.

$$4y+4+5=6\left(y-1\right)+y$$

Add 4 and 5 to get 9.

$$4y+9=6\left(y-1\right)+y$$

Use the distributive property to multiply 6 by y-1.

$$4y+9=6y-6+y$$

Combine 6y and y to get 7y.

$$4y+9=7y-6$$

Subtract 7y from both sides.

$$4y+9-7y=-6$$

Combine 4y and -7y to get -3y.

$$-3y+9=-6$$

Subtract 9 from both sides.

$$-3y=-6-9$$

Subtract 9 from -6 to get -15.

$$-3y=-15$$

Divide both sides by -3.

$$y=\frac{-15}{-3}$$

Divide -15 by -3 to get 5.

$$y=5$$