Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
y=−5
Evaluate
21−15y=68−4(y−2)
Move the expression to the left side
21−15y−(68−4(y−2))=0
Subtract the terms
More Steps
Evaluate
21−15y−(68−4(y−2))
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
21−15y−68+4(y−2)
Subtract the numbers
−47−15y+4(y−2)
−47−15y+4(y−2)=0
Calculate the sum or difference
More Steps
Evaluate
−47−15y+4(y−2)
Expand the expression
More Steps
Calculate
4(y−2)
Apply the distributive property
4y−4×2
Multiply the numbers
4y−8
−47−15y+4y−8
Subtract the numbers
−55−15y+4y
Add the terms
More Steps
Evaluate
−15y+4y
Collect like terms by calculating the sum or difference of their coefficients
(−15+4)y
Add the numbers
−11y
−55−11y
−55−11y=0
Move the constant to the right-hand side and change its sign
−11y=0+55
Removing 0 doesn't change the value,so remove it from the expression
−11y=55
Change the signs on both sides of the equation
11y=−55
Divide both sides
1111y=11−55
Divide the numbers
y=11−55
Solution
More Steps
Evaluate
11−55
Reduce the numbers
1−5
Calculate
−5
y=−5
Show Solution
Rewrite the equation
Rewrite in standard form
Rewrite in slope-intercept form
y=−5
Evaluate
21−15y=68−4(y−2)
Evaluate
More Steps
Evaluate
68−4(y−2)
Expand the expression
More Steps
Calculate
−4(y−2)
Apply the distributive property
−4y−(−4×2)
Multiply the numbers
−4y−(−8)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−4y+8
68−4y+8
Add the numbers
76−4y
21−15y=76−4y
Move the variable to the left side
21−11y=76
Move the constant to the right side
−11y=55
Multiply both sides
11y=−55
Solution
y=−5
Show Solution
Graph
