Question
Solve the inequality
y<−375
Alternative Form
y∈(−∞,−375)
Evaluate
4−3(y−2)<−7y×11
Multiply the terms
4−3(y−2)<−77y
Move the expression to the left side
4−3(y−2)−(−77y)<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
4−3(y−2)+77y<0
Calculate the sum or difference
More Steps

Evaluate
4−3(y−2)+77y
Expand the expression
More Steps

Calculate
−3(y−2)
Apply the distributive property
−3y−(−3×2)
Multiply the numbers
−3y−(−6)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−3y+6
4−3y+6+77y
Add the numbers
10−3y+77y
Add the terms
More Steps

Evaluate
−3y+77y
Collect like terms by calculating the sum or difference of their coefficients
(−3+77)y
Add the numbers
74y
10+74y
10+74y<0
Move the constant to the right side
74y<0−10
Removing 0 doesn't change the value,so remove it from the expression
74y<−10
Divide both sides
7474y<74−10
Divide the numbers
y<74−10
Solution
More Steps

Evaluate
74−10
Cancel out the common factor 2
37−5
Use b−a=−ba=−ba to rewrite the fraction
−375
y<−375
Alternative Form
y∈(−∞,−375)
Show Solution
