Solve for y -19y=5y+3

$- 19 y = 5 y + 3$

Step 1

Move all terms containing $y$ to the left side of the equation.

Subtract $5 y$ from both sides of the equation.

$- 19 y - 5 y = 3$

Subtract $5 y$ from $- 19 y$ .

$- 24 y = 3$

Step 2

Divide each term in $- 24 y = 3$ by $- 24$ and simplify.

Divide each term in $- 24 y = 3$ by $- 24$ .

$\frac{- 24 y}{- 24} = \frac{3}{- 24}$

Simplify the left side.

Cancel the common factor of $- 24$ .

Cancel the common factor.

$\frac{- 24 y}{- 24} = \frac{3}{- 24}$

Divide $y$ by $1$ .

$y = \frac{3}{- 24}$

Simplify the right side.

Cancel the common factor of $3$ and $- 24$ .

Factor $3$ out of $3$ .

$y = \frac{3 (1)}{- 24}$

Cancel the common factors.

Factor $3$ out of $- 24$ .

$y = \frac{3 \cdot 1}{3 \cdot - 8}$

Cancel the common factor.

$y = \frac{3 \cdot 1}{3 \cdot - 8}$

Rewrite the expression.

$y = \frac{1}{- 8}$

Move the negative in front of the fraction.

$y = - \frac{1}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{1}{8}$

Decimal Form:

$y = - 0.125$