Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2y−1
Evaluate
7(y−3)−5(y−4)
Expand the expression
More Steps
Calculate
7(y−3)
Apply the distributive property
7y−7×3
Multiply the numbers
7y−21
7y−21−5(y−4)
Expand the expression
More Steps
Calculate
−5(y−4)
Apply the distributive property
−5y−(−5×4)
Multiply the numbers
−5y−(−20)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−5y+20
7y−21−5y+20
Subtract the terms
More Steps
Evaluate
7y−5y
Collect like terms by calculating the sum or difference of their coefficients
(7−5)y
Subtract the numbers
2y
2y−21+20
Solution
2y−1
Show Solution
Find the roots
y=21
Alternative Form
y=0.5
Evaluate
7(y−3)−5(y−4)
To find the roots of the expression,set the expression equal to 0
7(y−3)−5(y−4)=0
Calculate
More Steps
Evaluate
7(y−3)−5(y−4)
Expand the expression
More Steps
Calculate
7(y−3)
Apply the distributive property
7y−7×3
Multiply the numbers
7y−21
7y−21−5(y−4)
Expand the expression
More Steps
Calculate
−5(y−4)
Apply the distributive property
−5y−(−5×4)
Multiply the numbers
−5y−(−20)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−5y+20
7y−21−5y+20
Subtract the terms
More Steps
Evaluate
7y−5y
Collect like terms by calculating the sum or difference of their coefficients
(7−5)y
Subtract the numbers
2y
2y−21+20
Add the numbers
2y−1
2y−1=0
Move the constant to the right-hand side and change its sign
2y=0+1
Removing 0 doesn't change the value,so remove it from the expression
2y=1
Divide both sides
22y=21
Solution
y=21
Alternative Form
y=0.5
Show Solution