Solve for y 6y+9+2y-5=8y+17-4y

$6 y + 9 + 2 y - 5 = 8 y + 17 - 4 y$

Simplify $6 y + 9 + 2 y - 5$ .

Add $6 y$ and $2 y$ .

$8 y + 9 - 5 = 8 y + 17 - 4 y$

Subtract $5$ from $9$ .

$8 y + 4 = 8 y + 17 - 4 y$

Subtract $4 y$ from $8 y$ .

$8 y + 4 = 4 y + 17$

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

Subtract $4 y$ from both sides of the equation.

$8 y + 4 - 4 y = 17$

Subtract $4 y$ from $8 y$ .

$4 y + 4 = 17$

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

Subtract $4$ from both sides of the equation.

$4 y = 17 - 4$

Subtract $4$ from $17$ .

$4 y = 13$

Divide each term in $4 y = 13$ by $4$ and simplify.

Divide each term in $4 y = 13$ by $4$ .

$\frac{4 y}{4} = \frac{13}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 y}{4} = \frac{13}{4}$

Divide $y$ by $1$ .

$y = \frac{13}{4}$

The result can be shown in multiple forms.

Exact Form:

$y = \frac{13}{4}$

Decimal Form:

$y = 3.25$

Mixed Number Form:

$y = 3 \frac{1}{4}$