Question
Solve the equation
y=275
Alternative Form
y=37.5
Evaluate
5−10y=30y
Multiply both sides of the equation by LCD
(5−10y)×30=30y×30
Simplify the equation
More Steps

Evaluate
(5−10y)×30
Apply the distributive property
5×30−10y×30
Simplify
5×30−y×3
Multiply the numbers
150−y×3
Use the commutative property to reorder the terms
150−3y
150−3y=30y×30
Simplify the equation
150−3y=y
Move the variable to the left side
150−3y−y=0
Subtract the terms
More Steps

Evaluate
−3y−y
Collect like terms by calculating the sum or difference of their coefficients
(−3−1)y
Subtract the numbers
−4y
150−4y=0
Move the constant to the right side
−4y=0−150
Removing 0 doesn't change the value,so remove it from the expression
−4y=−150
Change the signs on both sides of the equation
4y=150
Divide both sides
44y=4150
Divide the numbers
y=4150
Solution
y=275
Alternative Form
y=37.5
Show Solution

Rewrite the equation
Rewrite in standard form
Rewrite in slope-intercept form
2y=75
Evaluate
5−10y=30y
Rewrite the expression
More Steps

Evaluate
5−10y
Reduce the fraction
More Steps

Evaluate
−10y
Use b−a=−ba=−ba to rewrite the fraction
10−y
Reduce the fraction
−101y
5−101y
5−101y=30y
Reduce the fraction
5−101y=301y
Multiply both sides of the equation by LCD
150−3y=y
Move the variable to the left side
150−4y=0
Move the constant to the right side
−4y=−150
Multiply both sides
4y=150
Solution
2y=75
Show Solution
