# Solve for y 3y+9=1/4y

3y+9=14y
Combine 14 and y.
3y+9=y4
Move all terms containing y to the left side of the equation.
Subtract y4 from both sides of the equation.
3y+9-y4=0
To write 3y as a fraction with a common denominator, multiply by 44.
3y⋅44-y4+9=0
Combine 3y and 44.
3y⋅44-y4+9=0
Combine the numerators over the common denominator.
3y⋅4-y4+9=0
Simplify each term.
Simplify the numerator.
Factor y out of 3y⋅4-y.
Factor y out of 3y⋅4.
y(3⋅4)-y4+9=0
Factor y out of -y.
y(3⋅4)+y⋅-14+9=0
Factor y out of y(3⋅4)+y⋅-1.
y(3⋅4-1)4+9=0
y(3⋅4-1)4+9=0
Multiply 3 by 4.
y(12-1)4+9=0
Subtract 1 from 12.
y⋅114+9=0
y⋅114+9=0
Move 11 to the left of y.
11y4+9=0
11y4+9=0
11y4+9=0
Subtract 9 from both sides of the equation.
11y4=-9
Multiply both sides of the equation by 411.
411⋅11y4=411⋅-9
Simplify both sides of the equation.
Simplify 411⋅11y4.
Cancel the common factor of 4.
Cancel the common factor.
411⋅11y4=411⋅-9
Rewrite the expression.
111⋅(11y)=411⋅-9
111⋅(11y)=411⋅-9
Cancel the common factor of 11.
Factor 11 out of 11y.
111⋅(11(y))=411⋅-9
Cancel the common factor.
111⋅(11y)=411⋅-9
Rewrite the expression.
y=411⋅-9
y=411⋅-9
y=411⋅-9
Simplify 411⋅-9.
Multiply 411⋅-9.
Combine 411 and -9.
y=4⋅-911
Multiply 4 by -9.
y=-3611
y=-3611
Move the negative in front of the fraction.
y=-3611
y=-3611
y=-3611
The result can be shown in multiple forms.
Exact Form:
y=-3611
Decimal Form:
y=-3.27‾
Mixed Number Form:
y=-3311
Solve for y 3y+9=1/4y

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