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

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

Step 1

Simplify $y + 4 - (y - 1)$ .

Simplify each term.

Apply the distributive property.

$y + 4 - y - - 1 = 6 y$

Multiply $- 1$ by $- 1$ .

$y + 4 - y + 1 = 6 y$

Simplify by adding terms.

Combine the opposite terms in $y + 4 - y + 1$ .

Subtract $y$ from $y$ .

$0 + 4 + 1 = 6 y$

Add $0$ and $4$ .

$4 + 1 = 6 y$

Add $4$ and $1$ .

$5 = 6 y$

Step 2

Since $y$ is on the right side of the equation, switch the sides so it is on the left side of the equation.

$6 y = 5$

Step 3

Divide each term in $6 y = 5$ by $6$ and simplify.

Divide each term in $6 y = 5$ by $6$ .

$\frac{6 y}{6} = \frac{5}{6}$

Simplify the left side.

Cancel the common factor of $6$ .

Cancel the common factor.

$\frac{6 y}{6} = \frac{5}{6}$

Divide $y$ by $1$ .

$y = \frac{5}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{5}{6}$

Decimal Form:

$y = 0.8\overline{3}$