Solve for y 25.2=-1.5y+1.2

$25.2 = - 1.5 y + 1.2$

Step 1

Rewrite the equation as $- 1.5 y + 1.2 = 25.2$ .

$- 1.5 y + 1.2 = 25.2$

Step 2

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

Subtract $1.2$ from both sides of the equation.

$- 1.5 y = 25.2 - 1.2$

Subtract $1.2$ from $25.2$ .

$- 1.5 y = 24$

Step 3

Divide each term in $- 1.5 y = 24$ by $- 1.5$ and simplify.

Divide each term in $- 1.5 y = 24$ by $- 1.5$ .

$\frac{- 1.5 y}{- 1.5} = \frac{24}{- 1.5}$

Simplify the left side.

Cancel the common factor of $- 1.5$ .

Cancel the common factor.

$\frac{- 1.5 y}{- 1.5} = \frac{24}{- 1.5}$

Divide $y$ by $1$ .

$y = \frac{24}{- 1.5}$

Simplify the right side.

Divide $24$ by $- 1.5$ .

$y = - 16$