Finite Math Examples

Solve for y 1-5/4y=9/4-3/8y
Step 1
Simplify each term.
Tap for more steps...
Step 1.1
Combine and .
Step 1.2
Move to the left of .
Step 2
Simplify each term.
Tap for more steps...
Step 2.1
Combine and .
Step 2.2
Move to the left of .
Step 3
Move all terms containing to the left side of the equation.
Tap for more steps...
Step 3.1
Add to both sides of the equation.
Step 3.2
To write as a fraction with a common denominator, multiply by .
Step 3.3
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Step 3.3.1
Multiply by .
Step 3.3.2
Multiply by .
Step 3.4
Combine the numerators over the common denominator.
Step 3.5
Simplify each term.
Tap for more steps...
Step 3.5.1
Simplify the numerator.
Tap for more steps...
Step 3.5.1.1
Factor out of .
Tap for more steps...
Step 3.5.1.1.1
Factor out of .
Step 3.5.1.1.2
Factor out of .
Step 3.5.1.1.3
Factor out of .
Step 3.5.1.2
Multiply by .
Step 3.5.1.3
Add and .
Step 3.5.2
Move to the left of .
Step 3.5.3
Move the negative in front of the fraction.
Step 4
Move all terms not containing to the right side of the equation.
Tap for more steps...
Step 4.1
Subtract from both sides of the equation.
Step 4.2
To write as a fraction with a common denominator, multiply by .
Step 4.3
Combine and .
Step 4.4
Combine the numerators over the common denominator.
Step 4.5
Simplify the numerator.
Tap for more steps...
Step 4.5.1
Multiply by .
Step 4.5.2
Subtract from .
Step 5
Multiply both sides of the equation by .
Step 6
Simplify both sides of the equation.
Tap for more steps...
Step 6.1
Simplify the left side.
Tap for more steps...
Step 6.1.1
Simplify .
Tap for more steps...
Step 6.1.1.1
Cancel the common factor of .
Tap for more steps...
Step 6.1.1.1.1
Move the leading negative in into the numerator.
Step 6.1.1.1.2
Move the leading negative in into the numerator.
Step 6.1.1.1.3
Factor out of .
Step 6.1.1.1.4
Cancel the common factor.
Step 6.1.1.1.5
Rewrite the expression.
Step 6.1.1.2
Cancel the common factor of .
Tap for more steps...
Step 6.1.1.2.1
Factor out of .
Step 6.1.1.2.2
Cancel the common factor.
Step 6.1.1.2.3
Rewrite the expression.
Step 6.1.1.3
Multiply.
Tap for more steps...
Step 6.1.1.3.1
Multiply by .
Step 6.1.1.3.2
Multiply by .
Step 6.2
Simplify the right side.
Tap for more steps...
Step 6.2.1
Simplify .
Tap for more steps...
Step 6.2.1.1
Cancel the common factor of .
Tap for more steps...
Step 6.2.1.1.1
Move the leading negative in into the numerator.
Step 6.2.1.1.2
Factor out of .
Step 6.2.1.1.3
Cancel the common factor.
Step 6.2.1.1.4
Rewrite the expression.
Step 6.2.1.2
Combine and .
Step 6.2.1.3
Simplify the expression.
Tap for more steps...
Step 6.2.1.3.1
Multiply by .
Step 6.2.1.3.2
Move the negative in front of the fraction.
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: