Solve for y 2y+10-6y=12

$2 y + 10 - 6 y = 12$

Step 1

Subtract $6 y$ from $2 y$ .

$- 4 y + 10 = 12$

Step 2

Move all terms not containing $y$ to the right side of the equation.

Subtract $10$ from both sides of the equation.

$- 4 y = 12 - 10$

Subtract $10$ from $12$ .

$- 4 y = 2$

Step 3

Divide each term in $- 4 y = 2$ by $- 4$ and simplify.

Divide each term in $- 4 y = 2$ by $- 4$ .

$\frac{- 4 y}{- 4} = \frac{2}{- 4}$

Simplify the left side.

Cancel the common factor of $- 4$ .

Cancel the common factor.

$\frac{- 4 y}{- 4} = \frac{2}{- 4}$

Divide $y$ by $1$ .

$y = \frac{2}{- 4}$

Simplify the right side.

Cancel the common factor of $2$ and $- 4$ .

Factor $2$ out of $2$ .

$y = \frac{2 (1)}{- 4}$

Cancel the common factors.

Factor $2$ out of $- 4$ .

$y = \frac{2 \cdot 1}{2 \cdot - 2}$

Cancel the common factor.

$y = \frac{2 \cdot 1}{2 \cdot - 2}$

Rewrite the expression.

$y = \frac{1}{- 2}$

Move the negative in front of the fraction.

$y = - \frac{1}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = - \frac{1}{2}$

Decimal Form:

$y = - 0.5$