Basic Math Examples

$(0.3) (90) + (0.7) (y) = 0.6 (90 + y)$

Step 1

Multiply $0.3$ by $90$ .

$27 + 0.7 y = 0.6 (90 + y)$

Step 2

Simplify $0.6 (90 + y)$ .

Tap for more steps...

Step 2.1

Apply the distributive property.

$27 + 0.7 y = 0.6 \cdot 90 + 0.6 y$

Step 2.2

Multiply $0.6$ by $90$ .

$27 + 0.7 y = 54 + 0.6 y$

Step 3

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

Tap for more steps...

Step 3.1

Subtract $0.6 y$ from both sides of the equation.

$27 + 0.7 y - 0.6 y = 54$

Step 3.2

Subtract $0.6 y$ from $0.7 y$ .

$27 + 0.1 y = 54$

Step 4

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

Tap for more steps...

Step 4.1

Subtract $27$ from both sides of the equation.

$0.1 y = 54 - 27$

Step 4.2

Subtract $27$ from $54$ .

$0.1 y = 27$

Step 5

Divide each term in $0.1 y = 27$ by $0.1$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $0.1 y = 27$ by $0.1$ .

$\frac{0.1 y}{0.1} = \frac{27}{0.1}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $0.1$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{0.1 y}{0.1} = \frac{27}{0.1}$

Step 5.2.1.2

Divide $y$ by $1$ .

$y = \frac{27}{0.1}$

Step 5.3

Simplify the right side.

Tap for more steps...

Step 5.3.1

Divide $27$ by $0.1$ .

$y = 270$