Pre-Algebra Examples

$3 (2 y - 0.3) = 19.4 - y$

Step 1

Simplify $3 (2 y - 0.3)$ .

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Step 1.1

Rewrite.

$0 + 0 + 3 (2 y - 0.3) = 19.4 - y$

Step 1.2

Simplify by adding zeros.

$3 (2 y - 0.3) = 19.4 - y$

Step 1.3

Apply the distributive property.

$3 (2 y) + 3 \cdot - 0.3 = 19.4 - y$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $2$ by $3$ .

$6 y + 3 \cdot - 0.3 = 19.4 - y$

Step 1.4.2

Multiply $3$ by $- 0.3$ .

$6 y - 0.9 = 19.4 - y$

Step 2

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

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Step 2.1

Add $y$ to both sides of the equation.

$6 y - 0.9 + y = 19.4$

Step 2.2

Add $6 y$ and $y$ .

$7 y - 0.9 = 19.4$

Step 3

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

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Step 3.1

Add $0.9$ to both sides of the equation.

$7 y = 19.4 + 0.9$

Step 3.2

Add $19.4$ and $0.9$ .

$7 y = 20.3$

Step 4

Divide each term in $7 y = 20.3$ by $7$ and simplify.

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Step 4.1

Divide each term in $7 y = 20.3$ by $7$ .

$\frac{7 y}{7} = \frac{20.3}{7}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $7$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{7 y}{7} = \frac{20.3}{7}$

Step 4.2.1.2

Divide $y$ by $1$ .

$y = \frac{20.3}{7}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $20.3$ by $7$ .

$y = 2.9$