Question
Solve the equation
y=−215
Alternative Form
y=−7.5
Evaluate
3(−4y−25)−2y=30
Move the expression to the left side
3(−4y−25)−2y−30=0
Calculate
More Steps

Evaluate
3(−4y−25)−2y−30
Expand the expression
More Steps

Calculate
3(−4y−25)
Apply the distributive property
3(−4y)−3×25
Multiply the numbers
−12y−3×25
Multiply the numbers
−12y−75
−12y−75−2y−30
Subtract the terms
More Steps

Evaluate
−12y−2y
Collect like terms by calculating the sum or difference of their coefficients
(−12−2)y
Subtract the numbers
−14y
−14y−75−30
Subtract the numbers
−14y−105
−14y−105=0
Move the constant to the right-hand side and change its sign
−14y=0+105
Removing 0 doesn't change the value,so remove it from the expression
−14y=105
Change the signs on both sides of the equation
14y=−105
Divide both sides
1414y=14−105
Divide the numbers
y=14−105
Solution
More Steps

Evaluate
14−105
Cancel out the common factor 7
2−15
Use b−a=−ba=−ba to rewrite the fraction
−215
y=−215
Alternative Form
y=−7.5
Show Solution

Rewrite the equation
Rewrite in standard form
Rewrite in slope-intercept form
2y=−15
Evaluate
3(−4y−25)−2y=30
Evaluate
More Steps

Evaluate
3(−4y−25)−2y
Expand the expression
More Steps

Calculate
3(−4y−25)
Apply the distributive property
3(−4y)−3×25
Multiply the numbers
−12y−3×25
Multiply the numbers
−12y−75
−12y−75−2y
Subtract the terms
More Steps

Evaluate
−12y−2y
Collect like terms by calculating the sum or difference of their coefficients
(−12−2)y
Subtract the numbers
−14y
−14y−75
−14y−75=30
Move the constant to the right side
−14y=105
Multiply both sides
14y=−105
Solution
2y=−15
Show Solution
