Solve for y 5y+1=4-3y

$5 y + 1 = 4 - 3 y$

Step 1

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

Add $3 y$ to both sides of the equation.

$5 y + 1 + 3 y = 4$

Add $5 y$ and $3 y$ .

$8 y + 1 = 4$

Step 2

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

Subtract $1$ from both sides of the equation.

$8 y = 4 - 1$

Subtract $1$ from $4$ .

$8 y = 3$

Step 3

Divide each term in $8 y = 3$ by $8$ and simplify.

Divide each term in $8 y = 3$ by $8$ .

$\frac{8 y}{8} = \frac{3}{8}$

Simplify the left side.

Cancel the common factor of $8$ .

Cancel the common factor.

$\frac{8 y}{8} = \frac{3}{8}$

Divide $y$ by $1$ .

$y = \frac{3}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$y = \frac{3}{8}$

Decimal Form:

$y = 0.375$