Question
Simplify the expression
−4y−2
Evaluate
(y−2)−5y
Remove the parentheses
y−2−5y
Solution
More Steps

Evaluate
y−5y
Collect like terms by calculating the sum or difference of their coefficients
(1−5)y
Subtract the numbers
−4y
−4y−2
Show Solution

Factor the expression
−2(2y+1)
Evaluate
(y−2)−5y
Remove the parentheses
y−2−5y
Subtract the terms
More Steps

Evaluate
y−5y
Collect like terms by calculating the sum or difference of their coefficients
(1−5)y
Subtract the numbers
−4y
−4y−2
Solution
−2(2y+1)
Show Solution

Find the roots
y=−21
Alternative Form
y=−0.5
Evaluate
(y−2)−5y
To find the roots of the expression,set the expression equal to 0
(y−2)−5y=0
Remove the parentheses
y−2−5y=0
Subtract the terms
More Steps

Simplify
y−2−5y
Subtract the terms
More Steps

Evaluate
y−5y
Collect like terms by calculating the sum or difference of their coefficients
(1−5)y
Subtract the numbers
−4y
−4y−2
−4y−2=0
Move the constant to the right-hand side and change its sign
−4y=0+2
Removing 0 doesn't change the value,so remove it from the expression
−4y=2
Change the signs on both sides of the equation
4y=−2
Divide both sides
44y=4−2
Divide the numbers
y=4−2
Solution
More Steps

Evaluate
4−2
Cancel out the common factor 2
2−1
Use b−a=−ba=−ba to rewrite the fraction
−21
y=−21
Alternative Form
y=−0.5
Show Solution
