Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
5y+10
Evaluate
8y−2−3(y−4)
Expand the expression
More Steps
Calculate
−3(y−4)
Apply the distributive property
−3y−(−3×4)
Multiply the numbers
−3y−(−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
−3y+12
8y−2−3y+12
Subtract the terms
More Steps
Evaluate
8y−3y
Collect like terms by calculating the sum or difference of their coefficients
(8−3)y
Subtract the numbers
5y
5y−2+12
Solution
5y+10
Show Solution
Factor the expression
5(y+2)
Evaluate
8y−2−3(y−4)
Simplify
More Steps
Evaluate
−3(y−4)
Apply the distributive property
−3y−3(−4)
Multiply the terms
More Steps
Evaluate
−3(−4)
Multiplying or dividing an even number of negative terms equals a positive
3×4
Multiply the numbers
12
−3y+12
8y−2−3y+12
Subtract the terms
More Steps
Evaluate
8y−3y
Collect like terms by calculating the sum or difference of their coefficients
(8−3)y
Subtract the numbers
5y
5y−2+12
Add the numbers
5y+10
Solution
5(y+2)
Show Solution
Find the roots
y=−2
Evaluate
8y−2−3(y−4)
To find the roots of the expression,set the expression equal to 0
8y−2−3(y−4)=0
Calculate
More Steps
Evaluate
8y−2−3(y−4)
Expand the expression
More Steps
Calculate
−3(y−4)
Apply the distributive property
−3y−(−3×4)
Multiply the numbers
−3y−(−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
−3y+12
8y−2−3y+12
Subtract the terms
More Steps
Evaluate
8y−3y
Collect like terms by calculating the sum or difference of their coefficients
(8−3)y
Subtract the numbers
5y
5y−2+12
Add the numbers
5y+10
5y+10=0
Move the constant to the right-hand side and change its sign
5y=0−10
Removing 0 doesn't change the value,so remove it from the expression
5y=−10
Divide both sides
55y=5−10
Divide the numbers
y=5−10
Solution
More Steps
Evaluate
5−10
Reduce the numbers
1−2
Calculate
−2
y=−2
Show Solution