Solve 5-3(8-(3y-7))

Question

Simplify the expression

- 40 + 9 y

Evaluate

5 - 3 (8 - (3 y - 7))

Subtract the terms

More Steps

Simplify

8 - (3 y - 7)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

8 - 3 y + 7

Add the numbers

15 - 3 y

5 - 3 (15 - 3 y)

Expand the expression

More Steps

Calculate

- 3 (15 - 3 y)

Apply the distributive property

- 3 \times 15 - (- 3 \times 3 y)

Multiply the numbers

- 45 - (- 3 \times 3 y)

Multiply the numbers

- 45 - (- 9 y)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 45 + 9 y

5 - 45 + 9 y

Solution

- 40 + 9 y

Show Solution

Find the roots

y = \frac{40}{9}

Alternative Form

y = 4. \dot{4}

Evaluate

5 - 3 (8 - (3 y - 7))

To find the roots of the expression,set the expression equal to 0

5 - 3 (8 - (3 y - 7)) = 0

Subtract the terms

More Steps

Simplify

8 - (3 y - 7)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

8 - 3 y + 7

Add the numbers

15 - 3 y

5 - 3 (15 - 3 y) = 0

Calculate

More Steps

Evaluate

5 - 3 (15 - 3 y)

Expand the expression

More Steps

Calculate

- 3 (15 - 3 y)

Apply the distributive property

- 3 \times 15 - (- 3 \times 3 y)

Multiply the numbers

- 45 - (- 3 \times 3 y)

Multiply the numbers

- 45 - (- 9 y)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 45 + 9 y

5 - 45 + 9 y

Subtract the numbers

- 40 + 9 y

- 40 + 9 y = 0

Move the constant to the right-hand side and change its sign

9 y = 0 + 40

Removing 0 doesn't change the value,so remove it from the expression

9 y = 40

Divide both sides

\frac{9 y}{9} = \frac{40}{9}

Solution

y = \frac{40}{9}

Alternative Form

y = 4. \dot{4}

Show Solution