Basic Math Examples

1.2 y = 2 (9.75 - 1.75 y) - 5.4

$1.2 y = 2 (9.75 - 1.75 y) - 5.4$

Step 1

Simplify

$2 (9.75 - 1.75 y) - 5.4$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$1.2 y = 2 \cdot 9.75 + 2 (- 1.75 y) - 5.4$

Step 1.1.2

Multiply

$2$ by

$9.75$ .

$1.2 y = 19.5 + 2 (- 1.75 y) - 5.4$

Step 1.1.3

Multiply

$- 1.75$ by

$2$ .

$1.2 y = 19.5 - 3.5 y - 5.4$

$1.2 y = 19.5 - 3.5 y - 5.4$

Step 1.2

Subtract

$5.4$ from

$19.5$ .

$1.2 y = - 3.5 y + 14.1$

$1.2 y = - 3.5 y + 14.1$

Step 2

Move all terms containing

$y$ to the left side of the equation.

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Step 2.1

Add

$3.5 y$ to both sides of the equation.

$1.2 y + 3.5 y = 14.1$

Step 2.2

Add

$1.2 y$ and

$3.5 y$ .

$4.7 y = 14.1$

$4.7 y = 14.1$

Step 3

Divide each term in

$4.7 y = 14.1$ by

$4.7$ and simplify.

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Step 3.1

Divide each term in

$4.7 y = 14.1$ by

$4.7$ .

$\frac{4.7 y}{4.7} = \frac{14.1}{4.7}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

$4.7$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{4.7 y}{4.7} = \frac{14.1}{4.7}$

Step 3.2.1.2

Divide

$y$ by

$1$ .

$y = \frac{14.1}{4.7}$

$y = \frac{14.1}{4.7}$

$y = \frac{14.1}{4.7}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide

$14.1$ by

$4.7$ .

$y = 3$

$y = 3$

$y = 3$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$