Solve for y 1/2=(y-5)/(n-3)

Math
12=y-5n-3
Rewrite the equation as y-5n-3=12.
y-5n-3=12
Multiply both sides of the equation by n-3.
y-5=12⋅(n-3)
Remove parentheses.
y-5=12⋅(n-3)
Simplify 12⋅(n-3).
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Apply the distributive property.
y-5=12n+12⋅-3
Combine 12 and n.
y-5=n2+12⋅-3
Combine 12 and -3.
y-5=n2+-32
Move the negative in front of the fraction.
y-5=n2-32
y-5=n2-32
Move all terms not containing y to the right side of the equation.
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Add 5 to both sides of the equation.
y=n2-32+5
To write 5 as a fraction with a common denominator, multiply by 22.
y=n2-32+5⋅22
Combine 5 and 22.
y=n2-32+5⋅22
Combine the numerators over the common denominator.
y=n2+-3+5⋅22
Simplify the numerator.
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Multiply 5 by 2.
y=n2+-3+102
Add -3 and 10.
y=n2+72
y=n2+72
y=n2+72
Solve for y 1/2=(y-5)/(n-3)

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