# Solve for y 9-y=2 1/2

9-y=212
Convert 212 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
9-y=2+12
Add 2 and 12.
To write 2 as a fraction with a common denominator, multiply by 22.
9-y=2⋅22+12
Combine 2 and 22.
9-y=2⋅22+12
Combine the numerators over the common denominator.
9-y=2⋅2+12
Simplify the numerator.
Multiply 2 by 2.
9-y=4+12
Add 4 and 1.
9-y=52
9-y=52
9-y=52
9-y=52
Move all terms not containing y to the right side of the equation.
Subtract 9 from both sides of the equation.
-y=52-9
To write -9 as a fraction with a common denominator, multiply by 22.
-y=52-9⋅22
Combine -9 and 22.
-y=52+-9⋅22
Combine the numerators over the common denominator.
-y=5-9⋅22
Simplify the numerator.
Multiply -9 by 2.
-y=5-182
Subtract 18 from 5.
-y=-132
-y=-132
Move the negative in front of the fraction.
-y=-132
-y=-132
Multiply each term in -y=-132 by -1
Multiply each term in -y=-132 by -1.
(-y)⋅-1=-132⋅-1
Multiply (-y)⋅-1.
Multiply -1 by -1.
1y=-132⋅-1
Multiply y by 1.
y=-132⋅-1
y=-132⋅-1
Multiply -132⋅-1.
Multiply -1 by -1.
y=1(132)
Multiply 132 by 1.
y=132
y=132
y=132
The result can be shown in multiple forms.
Exact Form:
y=132
Decimal Form:
y=6.5
Mixed Number Form:
y=612
Solve for y 9-y=2 1/2

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