Solve 9y-5(17-y) - ScanMath

Question

Simplify the expression

14 y - 85

Evaluate

9 y - 5 (17 - y)

Expand the expression

More Steps

Calculate

- 5 (17 - y)

Apply the distributive property

- 5 \times 17 - (- 5 y)

Multiply the numbers

- 85 - (- 5 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

- 85 + 5 y

9 y - 85 + 5 y

Solution

More Steps

Evaluate

9 y + 5 y

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

(9 + 5) y

Add the numbers

14 y

14 y - 85

Show Solution

Find the roots

y = \frac{85}{14}

Alternative Form

y = 6.0 \dot{7} 1428 \dot{5}

Evaluate

9 y - 5 (17 - y)

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

9 y - 5 (17 - y) = 0

Calculate

More Steps

Evaluate

9 y - 5 (17 - y)

Expand the expression

More Steps

Calculate

- 5 (17 - y)

Apply the distributive property

- 5 \times 17 - (- 5 y)

Multiply the numbers

- 85 - (- 5 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

- 85 + 5 y

9 y - 85 + 5 y

Add the terms

More Steps

Evaluate

9 y + 5 y

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

(9 + 5) y

Add the numbers

14 y

14 y - 85

14 y - 85 = 0

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

14 y = 0 + 85

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

14 y = 85

Divide both sides

\frac{14 y}{14} = \frac{85}{14}

Solution

y = \frac{85}{14}

Alternative Form

y = 6.0 \dot{7} 1428 \dot{5}

Show Solution