Solve for y 2x+5y=12

$2 x + 5 y = 12$

Step 1

Subtract $2 x$ from both sides of the equation.

$5 y = 12 - 2 x$

Step 2

Divide each term in $5 y = 12 - 2 x$ by $5$ and simplify.

Divide each term in $5 y = 12 - 2 x$ by $5$ .

$\frac{5 y}{5} = \frac{12}{5} + \frac{- 2 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{12}{5} + \frac{- 2 x}{5}$

Divide $y$ by $1$ .

$y = \frac{12}{5} + \frac{- 2 x}{5}$

Simplify the right side.

Move the negative in front of the fraction.

$y = \frac{12}{5} - \frac{2 x}{5}$