Basic Math Examples

$15 + 5 (y - 3) = 4 y + 1$

Step 1

Simplify $15 + 5 (y - 3)$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Apply the distributive property.

$15 + 5 y + 5 \cdot - 3 = 4 y + 1$

Step 1.1.2

Multiply $5$ by $- 3$ .

$15 + 5 y - 15 = 4 y + 1$

Step 1.2

Combine the opposite terms in $15 + 5 y - 15$ .

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Step 1.2.1

Subtract $15$ from $15$ .

$5 y + 0 = 4 y + 1$

Step 1.2.2

Add $5 y$ and $0$ .

$5 y = 4 y + 1$

Step 2

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

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Step 2.1

Subtract $4 y$ from both sides of the equation.

$5 y - 4 y = 1$

Step 2.2

Subtract $4 y$ from $5 y$ .

$y = 1$