Solve for Y 2/3+1/2y-4=0

23+12y-4=0
Simplify the left side.
Combine 12 and y.
23+y2-4=0
To write –41 as a fraction with a common denominator, multiply by 33.
y2+23+-41⋅33=0
Write each expression with a common denominator of 3, by multiplying each by an appropriate factor of 1.
Combine.
y2+23+-4⋅31⋅3=0
Multiply 3 by 1.
y2+23+-4⋅33=0
y2+23+-4⋅33=0
Combine the numerators over the common denominator.
y2+2-4⋅33=0
Simplify the numerator.
Multiply -4 by 3.
y2+2-123=0
Subtract 12 from 2.
y2+-103=0
y2+-103=0
Move the negative in front of the fraction.
y2-103=0
y2-103=0
Add 103 to both sides of the equation.
y2=103
Multiply both sides of the equation by 2.
2⋅y2=2⋅103
Simplify both sides of the equation.
Cancel the common factor of 2.
Cancel the common factor.
2⋅y2=2⋅103
Rewrite the expression.
y=2⋅103
y=2⋅103
Multiply 2(103).
Combine 2 and 103.
y=2⋅103
Multiply 2 by 10.
y=203
y=203
y=203
The result can be shown in multiple forms.
Exact Form:
y=203
Decimal Form:
y=6.6‾
Mixed Number Form:
y=623
Solve for Y 2/3+1/2y-4=0

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