Solve for y 2.8y+6+0.2y=5y-14

$2.8 y + 6 + 0.2 y = 5 y - 14$

Step 1

Add $2.8 y$ and $0.2 y$ .

$3 y + 6 = 5 y - 14$

Step 2

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

Subtract $5 y$ from both sides of the equation.

$3 y + 6 - 5 y = - 14$

Subtract $5 y$ from $3 y$ .

$- 2 y + 6 = - 14$

Step 3

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

Subtract $6$ from both sides of the equation.

$- 2 y = - 14 - 6$

Subtract $6$ from $- 14$ .

$- 2 y = - 20$

Step 4

Divide each term in $- 2 y = - 20$ by $- 2$ and simplify.

Divide each term in $- 2 y = - 20$ by $- 2$ .

$\frac{- 2 y}{- 2} = \frac{- 20}{- 2}$

Simplify the left side.

Cancel the common factor of $- 2$ .

Cancel the common factor.

$\frac{- 2 y}{- 2} = \frac{- 20}{- 2}$

Divide $y$ by $1$ .

$y = \frac{- 20}{- 2}$

Simplify the right side.

Divide $- 20$ by $- 2$ .

$y = 10$