Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
y=−6
Evaluate
4y=2(y−5)−2
Move the expression to the left side
4y−(2(y−5)−2)=0
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−2(y−5)+2=0
Calculate the sum or difference
More Steps
Evaluate
4y−2(y−5)+2
Expand the expression
More Steps
Calculate
−2(y−5)
Apply the distributive property
−2y−(−2×5)
Multiply the numbers
−2y−(−10)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2y+10
4y−2y+10+2
Subtract the terms
More Steps
Evaluate
4y−2y
Collect like terms by calculating the sum or difference of their coefficients
(4−2)y
Subtract the numbers
2y
2y+10+2
Add the numbers
2y+12
2y+12=0
Move the constant to the right-hand side and change its sign
2y=0−12
Removing 0 doesn't change the value,so remove it from the expression
2y=−12
Divide both sides
22y=2−12
Divide the numbers
y=2−12
Solution
More Steps
Evaluate
2−12
Reduce the numbers
1−6
Calculate
−6
y=−6
Show Solution
Rewrite the equation
Rewrite in standard form
Rewrite in slope-intercept form
y=−6
Evaluate
4y=2(y−5)−2
Evaluate
More Steps
Evaluate
2(y−5)−2
Expand the expression
More Steps
Calculate
2(y−5)
Apply the distributive property
2y−2×5
Multiply the numbers
2y−10
2y−10−2
Subtract the numbers
2y−12
4y=2y−12
Move the variable to the left side
2y=−12
Solution
y=−6
Show Solution
Graph
