Solve for y 3x+5y=16

$3 x + 5 y = 16$

Step 1

Subtract $3 x$ from both sides of the equation.

$5 y = 16 - 3 x$

Step 2

Divide each term in $5 y = 16 - 3 x$ by $5$ and simplify.

Divide each term in $5 y = 16 - 3 x$ by $5$ .

$\frac{5 y}{5} = \frac{16}{5} + \frac{- 3 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{16}{5} + \frac{- 3 x}{5}$

Divide $y$ by $1$ .

$y = \frac{16}{5} + \frac{- 3 x}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{16}{5} - \frac{3 x}{5}$