Basic Math Examples

$4 (4 + 2 y) = 7 (y - 1)$

Step 1

Simplify $4 (4 + 2 y)$ .

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Step 1.1

Rewrite.

$0 + 0 + 4 (4 + 2 y) = 7 (y - 1)$

Step 1.2

Simplify by adding zeros.

$4 (4 + 2 y) = 7 (y - 1)$

Step 1.3

Apply the distributive property.

$4 \cdot 4 + 4 (2 y) = 7 (y - 1)$

Step 1.4

Multiply.

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Step 1.4.1

Multiply $4$ by $4$ .

$16 + 4 (2 y) = 7 (y - 1)$

Step 1.4.2

Multiply $2$ by $4$ .

$16 + 8 y = 7 (y - 1)$

Step 2

Simplify $7 (y - 1)$ .

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Step 2.1

Apply the distributive property.

$16 + 8 y = 7 y + 7 \cdot - 1$

Step 2.2

Multiply $7$ by $- 1$ .

$16 + 8 y = 7 y - 7$

Step 3

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

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Step 3.1

Subtract $7 y$ from both sides of the equation.

$16 + 8 y - 7 y = - 7$

Step 3.2

Subtract $7 y$ from $8 y$ .

$16 + y = - 7$

Step 4

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

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Step 4.1

Subtract $16$ from both sides of the equation.

$y = - 7 - 16$

Step 4.2

Subtract $16$ from $- 7$ .

$y = - 23$