Solve for y 20x+5y=15 for y

$20 x + 5 y = 15$ for $y$

Step 1

Subtract $20 x$ from both sides of the equation.

$5 y = 15 - 20 x$

Step 2

Divide each term in $5 y = 15 - 20 x$ by $5$ and simplify.

Divide each term in $5 y = 15 - 20 x$ by $5$ .

$\frac{5 y}{5} = \frac{15}{5} + \frac{- 20 x}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{15}{5} + \frac{- 20 x}{5}$

Divide $y$ by $1$ .

$y = \frac{15}{5} + \frac{- 20 x}{5}$

$y = \frac{15}{5} + \frac{- 20 x}{5}$

$y = \frac{15}{5} + \frac{- 20 x}{5}$

Simplify the right side.

Simplify each term.

Divide $15$ by $5$ .

$y = 3 + \frac{- 20 x}{5}$

Cancel the common factor of $- 20$ and $5$ .

Factor $5$ out of $- 20 x$ .

$y = 3 + \frac{5 (- 4 x)}{5}$

Cancel the common factors.

Factor $5$ out of $5$ .

$y = 3 + \frac{5 (- 4 x)}{5 (1)}$

Cancel the common factor.

$y = 3 + \frac{5 (- 4 x)}{5 \cdot 1}$

Rewrite the expression.

$y = 3 + \frac{- 4 x}{1}$

Divide $- 4 x$ by $1$ .

$y = 3 - 4 x$

$y = 3 - 4 x$

$y = 3 - 4 x$

$y = 3 - 4 x$

$y = 3 - 4 x$

$y = 3 - 4 x$

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