Solve for y 5y-6+8+3y=6

$5 y - 6 + 8 + 3 y = 6$

Step 1

Simplify $5 y - 6 + 8 + 3 y$ .

Add $5 y$ and $3 y$ .

$8 y - 6 + 8 = 6$

Add $- 6$ and $8$ .

$8 y + 2 = 6$

Step 2

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

Subtract $2$ from both sides of the equation.

$8 y = 6 - 2$

Subtract $2$ from $6$ .

$8 y = 4$

Step 3

Divide each term in $8 y = 4$ by $8$ and simplify.

Divide each term in $8 y = 4$ by $8$ .

$\frac{8 y}{8} = \frac{4}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{4}{8}$

Divide $y$ by $1$ .

$y = \frac{4}{8}$

Simplify the right side.

Cancel the common factor of $4$ and $8$ .

Factor $4$ out of $4$ .

$y = \frac{4 (1)}{8}$

Cancel the common factors.

Factor $4$ out of $8$ .

$y = \frac{4 \cdot 1}{4 \cdot 2}$

Cancel the common factor.

$y = \frac{4 \cdot 1}{4 \cdot 2}$

Rewrite the expression.

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

Step 4

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$y = 0.5$