Solve for y 3(y-2)+5=19

$3 (y - 2) + 5 = 19$

Step 1

Simplify $3 (y - 2) + 5$ .

Simplify each term.

Apply the distributive property.

$3 y + 3 \cdot - 2 + 5 = 19$

Multiply $3$ by $- 2$ .

$3 y - 6 + 5 = 19$

Add $- 6$ and $5$ .

$3 y - 1 = 19$

Step 2

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

Add $1$ to both sides of the equation.

$3 y = 19 + 1$

Add $19$ and $1$ .

$3 y = 20$

Step 3

Divide each term in $3 y = 20$ by $3$ and simplify.

Divide each term in $3 y = 20$ by $3$ .

$\frac{3 y}{3} = \frac{20}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{3 y}{3} = \frac{20}{3}$

Divide $y$ by $1$ .

$y = \frac{20}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{20}{3}$

Decimal Form:

$y = 6.\overline{6}$

Mixed Number Form:

$y = 6 \frac{2}{3}$