Solve for y (3y)/5=3y-4

$\frac{3 y}{5} = 3 y - 4$

Step 1

Multiply both sides by $5$ .

$\frac{3 y}{5} \cdot 5 = (3 y - 4) \cdot 5$

Step 2

Simplify.

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{3 y}{5} \cdot 5 = (3 y - 4) \cdot 5$

Rewrite the expression.

$3 y = (3 y - 4) \cdot 5$

$3 y = (3 y - 4) \cdot 5$

$3 y = (3 y - 4) \cdot 5$

Simplify the right side.

Simplify $(3 y - 4) \cdot 5$ .

Apply the distributive property.

$3 y = 3 y \cdot 5 - 4 \cdot 5$

Multiply.

Multiply $5$ by $3$ .

$3 y = 15 y - 4 \cdot 5$

Multiply $- 4$ by $5$ .

$3 y = 15 y - 20$

$3 y = 15 y - 20$

$3 y = 15 y - 20$

$3 y = 15 y - 20$

$3 y = 15 y - 20$

Step 3

Solve for $y$ .

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

Subtract $15 y$ from both sides of the equation.

$3 y - 15 y = - 20$

Subtract $15 y$ from $3 y$ .

$- 12 y = - 20$

$- 12 y = - 20$

Divide each term in $- 12 y = - 20$ by $- 12$ and simplify.

Divide each term in $- 12 y = - 20$ by $- 12$ .

$\frac{- 12 y}{- 12} = \frac{- 20}{- 12}$

Simplify the left side.

Cancel the common factor of $- 12$ .

Cancel the common factor.

$\frac{- 12 y}{- 12} = \frac{- 20}{- 12}$

Divide $y$ by $1$ .

$y = \frac{- 20}{- 12}$

$y = \frac{- 20}{- 12}$

$y = \frac{- 20}{- 12}$

Simplify the right side.

Cancel the common factor of $- 20$ and $- 12$ .

Factor $- 4$ out of $- 20$ .

$y = \frac{- 4 (5)}{- 12}$

Cancel the common factors.

Factor $- 4$ out of $- 12$ .

$y = \frac{- 4 \cdot 5}{- 4 \cdot 3}$

Cancel the common factor.

$y = \frac{- 4 \cdot 5}{- 4 \cdot 3}$

Rewrite the expression.

$y = \frac{5}{3}$

$y = \frac{5}{3}$

$y = \frac{5}{3}$

$y = \frac{5}{3}$

$y = \frac{5}{3}$

$y = \frac{5}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{5}{3}$

Decimal Form:

$y = 1.\overline{6}$

Mixed Number Form:

$y = 1 \frac{2}{3}$

Related Questions