Basic Math Examples

$1.6 (3 y - 2) - 1 = - 8.9 + 4.8 y + 4.7$

Step 1

Simplify $1.6 (3 y - 2) - 1$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$1.6 (3 y) + 1.6 \cdot - 2 - 1 = - 8.9 + 4.8 y + 4.7$

Step 1.1.2

Multiply $3$ by $1.6$ .

$4.8 y + 1.6 \cdot - 2 - 1 = - 8.9 + 4.8 y + 4.7$

Step 1.1.3

Multiply $1.6$ by $- 2$ .

$4.8 y - 3.2 - 1 = - 8.9 + 4.8 y + 4.7$

Step 1.2

Subtract $1$ from $- 3.2$ .

$4.8 y - 4.2 = - 8.9 + 4.8 y + 4.7$

Step 2

Add $- 8.9$ and $4.7$ .

$4.8 y - 4.2 = 4.8 y - 4.2$

Step 3

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

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Step 3.1

Subtract $4.8 y$ from both sides of the equation.

$4.8 y - 4.2 - 4.8 y = - 4.2$

Step 3.2

Subtract $4.8 y$ from $4.8 y$ .

$0 y - 4.2 = - 4.2$

Step 3.3

Multiply $0$ by $y$ .

$0 - 4.2 = - 4.2$

Step 3.4

Subtract $4.2$ from $0$ .

$- 4.2 = - 4.2$

Step 4

Since $- 4.2 = - 4.2$ , the equation will always be true for any value of $y$ .

All real numbers

Step 5

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$