Solve 7 - 6 [4 - (5y - 9)]

Question

Simplify the expression

- 71 + 30 y

Evaluate

7 - 6 (4 - (5 y - 9))

Subtract the terms

More Steps

Simplify

4 - (5 y - 9)

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

4 - 5 y + 9

Add the numbers

13 - 5 y

7 - 6 (13 - 5 y)

Expand the expression

More Steps

Calculate

- 6 (13 - 5 y)

Apply the distributive property

- 6 \times 13 - (- 6 \times 5 y)

Multiply the numbers

- 78 - (- 6 \times 5 y)

Multiply the numbers

- 78 - (- 30 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

- 78 + 30 y

7 - 78 + 30 y

Solution

- 71 + 30 y

Show Solution

Find the roots

y = \frac{71}{30}

Alternative Form

y = 2.3 \dot{6}

Evaluate

7 - 6 (4 - (5 y - 9))

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

7 - 6 (4 - (5 y - 9)) = 0

Subtract the terms

More Steps

Simplify

4 - (5 y - 9)

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

4 - 5 y + 9

Add the numbers

13 - 5 y

7 - 6 (13 - 5 y) = 0

Calculate

More Steps

Evaluate

7 - 6 (13 - 5 y)

Expand the expression

More Steps

Calculate

- 6 (13 - 5 y)

Apply the distributive property

- 6 \times 13 - (- 6 \times 5 y)

Multiply the numbers

- 78 - (- 6 \times 5 y)

Multiply the numbers

- 78 - (- 30 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

- 78 + 30 y

7 - 78 + 30 y

Subtract the numbers

- 71 + 30 y

- 71 + 30 y = 0

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

30 y = 0 + 71

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

30 y = 71

Divide both sides

\frac{30 y}{30} = \frac{71}{30}

Solution

y = \frac{71}{30}

Alternative Form

y = 2.3 \dot{6}

Show Solution