Solve for x 9/5x+32=y

$\frac{9}{5} x + 32 = y$

Combine $\frac{9}{5}$ and $x$ .

$\frac{9 x}{5} + 32 = y$

Subtract $32$ from both sides of the equation.

$\frac{9 x}{5} = y - 32$

Multiply both sides of the equation by $\frac{5}{9}$ .

$\frac{5}{9} \cdot \frac{9 x}{5} = \frac{5}{9} (y - 32)$

Simplify both sides of the equation.

Simplify the left side.

Simplify $\frac{5}{9} \cdot \frac{9 x}{5}$ .

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5}{9} \cdot \frac{9 x}{5} = \frac{5}{9} (y - 32)$

Rewrite the expression.

$\frac{1}{9} (9 x) = \frac{5}{9} (y - 32)$

Cancel the common factor of $9$ .

Factor $9$ out of $9 x$ .

$\frac{1}{9} (9 (x)) = \frac{5}{9} (y - 32)$

Cancel the common factor.

$\frac{1}{9} (9 x) = \frac{5}{9} (y - 32)$

Rewrite the expression.

$x = \frac{5}{9} (y - 32)$

Simplify the right side.

Simplify $\frac{5}{9} (y - 32)$ .

Apply the distributive property.

$x = \frac{5}{9} y + \frac{5}{9} \cdot - 32$

Combine $\frac{5}{9}$ and $y$ .

$x = \frac{5 y}{9} + \frac{5}{9} \cdot - 32$

Multiply $\frac{5}{9} \cdot - 32$ .

Combine $\frac{5}{9}$ and $- 32$ .

$x = \frac{5 y}{9} + \frac{5 \cdot - 32}{9}$

Multiply $5$ by $- 32$ .

$x = \frac{5 y}{9} + \frac{- 160}{9}$

Move the negative in front of the fraction.

$x = \frac{5 y}{9} - \frac{160}{9}$