Solve for y 8y-3=6y+17

$8 y - 3 = 6 y + 17$

Step 1

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

Subtract $6 y$ from both sides of the equation.

$8 y - 3 - 6 y = 17$

Subtract $6 y$ from $8 y$ .

$2 y - 3 = 17$

Step 2

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

Add $3$ to both sides of the equation.

$2 y = 17 + 3$

Add $17$ and $3$ .

$2 y = 20$

Step 3

Divide each term in $2 y = 20$ by $2$ and simplify.

Divide each term in $2 y = 20$ by $2$ .

$\frac{2 y}{2} = \frac{20}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 y}{2} = \frac{20}{2}$

Divide $y$ by $1$ .

$y = \frac{20}{2}$

Simplify the right side.

Divide $20$ by $2$ .

$y = 10$