Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
y=11
Evaluate
5(y−2)−7y=−32
Move the expression to the left side
5(y−2)−7y−(−32)=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
5(y−2)−7y+32=0
Calculate the sum or difference
More Steps
Evaluate
5(y−2)−7y+32
Expand the expression
More Steps
Calculate
5(y−2)
Apply the distributive property
5y−5×2
Multiply the numbers
5y−10
5y−10−7y+32
Subtract the terms
More Steps
Evaluate
5y−7y
Collect like terms by calculating the sum or difference of their coefficients
(5−7)y
Subtract the numbers
−2y
−2y−10+32
Add the numbers
−2y+22
−2y+22=0
Move the constant to the right-hand side and change its sign
−2y=0−22
Removing 0 doesn't change the value,so remove it from the expression
−2y=−22
Change the signs on both sides of the equation
2y=22
Divide both sides
22y=222
Divide the numbers
y=222
Solution
More Steps
Evaluate
222
Reduce the numbers
111
Calculate
11
y=11
Show Solution
Rewrite the equation
Rewrite in standard form
Rewrite in slope-intercept form
y=11
Evaluate
5(y−2)−7y=−32
Evaluate
More Steps
Evaluate
5(y−2)−7y
Expand the expression
More Steps
Calculate
5(y−2)
Apply the distributive property
5y−5×2
Multiply the numbers
5y−10
5y−10−7y
Subtract the terms
More Steps
Evaluate
5y−7y
Collect like terms by calculating the sum or difference of their coefficients
(5−7)y
Subtract the numbers
−2y
−2y−10
−2y−10=−32
Move the constant to the right side
−2y=−22
Multiply both sides
2y=22
Solution
y=11
Show Solution
Graph
