Solve for y -35.9=y/0.1+0.1

$- 35.9 = \frac{y}{0.1} + 0.1$

Step 1

Rewrite the equation as $\frac{y}{0.1} + 0.1 = - 35.9$ .

$\frac{y}{0.1} + 0.1 = - 35.9$

Step 2

Simplify each term.

Multiply by $1$ .

$\frac{1 y}{0.1} + 0.1 = - 35.9$

Factor $0.1$ out of $0.1$ .

$\frac{1 y}{0.1 (1)} + 0.1 = - 35.9$

Separate fractions.

$\frac{1}{0.1} \cdot \frac{y}{1} + 0.1 = - 35.9$

Divide $1$ by $0.1$ .

$10 \frac{y}{1} + 0.1 = - 35.9$

Divide $y$ by $1$ .

$10 y + 0.1 = - 35.9$

Step 3

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

Subtract $0.1$ from both sides of the equation.

$10 y = - 35.9 - 0.1$

Subtract $0.1$ from $- 35.9$ .

$10 y = - 36$

Step 4

Divide each term in $10 y = - 36$ by $10$ and simplify.

Divide each term in $10 y = - 36$ by $10$ .

$\frac{10 y}{10} = \frac{- 36}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 y}{10} = \frac{- 36}{10}$

Divide $y$ by $1$ .

$y = \frac{- 36}{10}$

Simplify the right side.

Cancel the common factor of $- 36$ and $10$ .

Factor $2$ out of $- 36$ .

$y = \frac{2 (- 18)}{10}$

Cancel the common factors.

Factor $2$ out of $10$ .

$y = \frac{2 \cdot - 18}{2 \cdot 5}$

Cancel the common factor.

$y = \frac{2 \cdot - 18}{2 \cdot 5}$

Rewrite the expression.

$y = \frac{- 18}{5}$

Move the negative in front of the fraction.

$y = - \frac{18}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{18}{5}$

Decimal Form:

$y = - 3.6$

Mixed Number Form:

$y = - 3 \frac{3}{5}$

Solve for y -35.9=y/0.1+0.1

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