Solve 7y - 3(3y -4)

Question

Simplify the expression

- 2 y + 12

Evaluate

7 y - 3 (3 y - 4)

Expand the expression

More Steps

Calculate

- 3 (3 y - 4)

Apply the distributive property

- 3 \times 3 y - (- 3 \times 4)

Multiply the numbers

- 9 y - (- 3 \times 4)

Multiply the numbers

- 9 y - (- 12)

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

- 9 y + 12

7 y - 9 y + 12

Solution

More Steps

Evaluate

7 y - 9 y

Collect like terms by calculating the sum or difference of their coefficients

(7 - 9) y

Subtract the numbers

- 2 y

- 2 y + 12

Show Solution

Factor the expression

- 2 (y - 6)

Evaluate

7 y - 3 (3 y - 4)

Simplify

More Steps

Evaluate

- 3 (3 y - 4)

Apply the distributive property

- 3 \times 3 y - 3 (- 4)

Multiply the terms

- 9 y - 3 (- 4)

Multiply the terms

More Steps

Evaluate

- 3 (- 4)

Multiplying or dividing an even number of negative terms equals a positive

3 \times 4

Multiply the numbers

12

- 9 y + 12

7 y - 9 y + 12

Subtract the terms

More Steps

Evaluate

7 y - 9 y

Collect like terms by calculating the sum or difference of their coefficients

(7 - 9) y

Subtract the numbers

- 2 y

- 2 y + 12

Solution

- 2 (y - 6)

Show Solution

Find the roots

y = 6

Evaluate

7 y - 3 (3 y - 4)

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

7 y - 3 (3 y - 4) = 0

Calculate

More Steps

Evaluate

7 y - 3 (3 y - 4)

Expand the expression

More Steps

Calculate

- 3 (3 y - 4)

Apply the distributive property

- 3 \times 3 y - (- 3 \times 4)

Multiply the numbers

- 9 y - (- 3 \times 4)

Multiply the numbers

- 9 y - (- 12)

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

- 9 y + 12

7 y - 9 y + 12

Subtract the terms

More Steps

Evaluate

7 y - 9 y

Collect like terms by calculating the sum or difference of their coefficients

(7 - 9) y

Subtract the numbers

- 2 y

- 2 y + 12

- 2 y + 12 = 0

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

- 2 y = 0 - 12

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

- 2 y = - 12

Change the signs on both sides of the equation

2 y = 12

Divide both sides

\frac{2 y}{2} = \frac{12}{2}

Divide the numbers

y = \frac{12}{2}

Solution

More Steps

Evaluate

\frac{12}{2}

Reduce the numbers

\frac{6}{1}

Calculate

6

y = 6

Show Solution