Solve for y a=(x+y+z)/3

$a = \frac{x + y + z}{3}$

Step 1

Rewrite the equation as $\frac{x + y + z}{3} = a$ .

$\frac{x + y + z}{3} = a$

Step 2

Multiply both sides of the equation by $3$ .

$3 \frac{x + y + z}{3} = 3 a$

Step 3

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{x + y + z}{3} = 3 a$

Rewrite the expression.

$x + y + z = 3 a$

Step 4

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

Subtract $x$ from both sides of the equation.

$y + z = 3 a - x$

Subtract $z$ from both sides of the equation.

$y = 3 a - x - z$