Solve for y 5(y+7)=10y

$5 (y + 7) = 10 y$

Step 1

Simplify $5 (y + 7)$ .

Rewrite.

$0 + 0 + 5 (y + 7) = 10 y$

Simplify by adding zeros.

$5 (y + 7) = 10 y$

Apply the distributive property.

$5 y + 5 \cdot 7 = 10 y$

Multiply $5$ by $7$ .

$5 y + 35 = 10 y$

Step 2

Move all terms containing $y$ to the left side of the equation.

Subtract $10 y$ from both sides of the equation.

$5 y + 35 - 10 y = 0$

Subtract $10 y$ from $5 y$ .

$- 5 y + 35 = 0$

Step 3

Subtract $35$ from both sides of the equation.

$- 5 y = - 35$

Step 4

Divide each term in $- 5 y = - 35$ by $- 5$ and simplify.

Divide each term in $- 5 y = - 35$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{- 35}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{- 35}{- 5}$

Divide $y$ by $1$ .

$y = \frac{- 35}{- 5}$

Simplify the right side.

Divide $- 35$ by $- 5$ .

$y = 7$