# Solve the Inequality for y (4-y)/5-5y>=0

Solve the Inequality for y (4-y)/5-5y>=0
Simplify .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
Combine and .
Combine the numerators over the common denominator.
Simplify the numerator.
Multiply by .
Subtract from .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Multiply both sides by .
Simplify.
Simplify the left side.
Simplify .
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Apply the distributive property.
Simplify the expression.
Multiply by .
Multiply by .
Reorder and .
Simplify the right side.
Multiply by .
Solve for .
Subtract from both sides of the inequality.
Divide each term in by and simplify.
Divide each term in by . When multiplying or dividing both sides of an inequality by a negative value, flip the direction of the inequality sign.
Simplify the left side.
Cancel the common factor of .
Cancel the common factor.
Divide by .
Simplify the right side.
Cancel the common factor of and .
Factor out of .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
The result can be shown in multiple forms.
Inequality Form:
Interval Notation:
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