Solve for y 4(5+y)-6(2+y)=4

$4 (5 + y) - 6 (2 + y) = 4$

Step 1

Simplify $4 (5 + y) - 6 (2 + y)$ .

Simplify each term.

Apply the distributive property.

$4 \cdot 5 + 4 y - 6 (2 + y) = 4$

Multiply $4$ by $5$ .

$20 + 4 y - 6 (2 + y) = 4$

Apply the distributive property.

$20 + 4 y - 6 \cdot 2 - 6 y = 4$

Multiply $- 6$ by $2$ .

$20 + 4 y - 12 - 6 y = 4$

Simplify by adding terms.

Subtract $12$ from $20$ .

$4 y + 8 - 6 y = 4$

Subtract $6 y$ from $4 y$ .

$- 2 y + 8 = 4$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Subtract $8$ from both sides of the equation.

$- 2 y = 4 - 8$

Subtract $8$ from $4$ .

$- 2 y = - 4$

Step 3

Divide each term in $- 2 y = - 4$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 4$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 4}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 4}{- 2}$

Divide $y$ by $1$ .

$y = \frac{- 4}{- 2}$

Simplify the right side.

Divide $- 4$ by $- 2$ .

$y = 2$