Solve for y 14.9=3.4-y/0.2

$14.9 = 3.4 - \frac{y}{0.2}$

Step 1

Rewrite the equation as $3.4 - \frac{y}{0.2} = 14.9$ .

$3.4 - \frac{y}{0.2} = 14.9$

Step 2

Simplify each term.

Multiply by $1$ .

$3.4 - \frac{1 y}{0.2} = 14.9$

Factor $0.2$ out of $0.2$ .

$3.4 - \frac{1 y}{0.2 (1)} = 14.9$

Separate fractions.

$3.4 - (\frac{1}{0.2} \cdot \frac{y}{1}) = 14.9$

Divide $1$ by $0.2$ .

$3.4 - (5 \frac{y}{1}) = 14.9$

Divide $y$ by $1$ .

$3.4 - (5 y) = 14.9$

Multiply $5$ by $- 1$ .

$3.4 - 5 y = 14.9$

Step 3

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

Subtract $3.4$ from both sides of the equation.

$- 5 y = 14.9 - 3.4$

Subtract $3.4$ from $14.9$ .

$- 5 y = 11.5$

Step 4

Divide each term in $- 5 y = 11.5$ by $- 5$ and simplify.

Divide each term in $- 5 y = 11.5$ by $- 5$ .

$\frac{- 5 y}{- 5} = \frac{11.5}{- 5}$

Simplify the left side.

Cancel the common factor of $- 5$ .

Cancel the common factor.

$\frac{- 5 y}{- 5} = \frac{11.5}{- 5}$

Divide $y$ by $1$ .

$y = \frac{11.5}{- 5}$

Simplify the right side.

Divide $11.5$ by $- 5$ .

$y = - 2.3$