Solve for y 8y-7=23-2y

$8 y - 7 = 23 - 2 y$

Step 1

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

Add $2 y$ to both sides of the equation.

$8 y - 7 + 2 y = 23$

Add $8 y$ and $2 y$ .

$10 y - 7 = 23$

Step 2

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

Add $7$ to both sides of the equation.

$10 y = 23 + 7$

Add $23$ and $7$ .

$10 y = 30$

Step 3

Divide each term in $10 y = 30$ by $10$ and simplify.

Divide each term in $10 y = 30$ by $10$ .

$\frac{10 y}{10} = \frac{30}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 y}{10} = \frac{30}{10}$

Divide $y$ by $1$ .

$y = \frac{30}{10}$

Simplify the right side.

Divide $30$ by $10$ .

$y = 3$