# Solve for y y+9 1/2=13 3/4 y+912=1334
Convert 912 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
y+9+12=1334
Add 9 and 12.
To write 9 as a fraction with a common denominator, multiply by 22.
y+9⋅22+12=1334
Combine 9 and 22.
y+9⋅22+12=1334
Combine the numerators over the common denominator.
y+9⋅2+12=1334
Simplify the numerator.
Multiply 9 by 2.
y+18+12=1334
Add 18 and 1.
y+192=1334
y+192=1334
y+192=1334
y+192=1334
Convert 1334 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
y+192=13+34
Add 13 and 34.
To write 13 as a fraction with a common denominator, multiply by 44.
y+192=13⋅44+34
Combine 13 and 44.
y+192=13⋅44+34
Combine the numerators over the common denominator.
y+192=13⋅4+34
Simplify the numerator.
Multiply 13 by 4.
y+192=52+34
Add 52 and 3.
y+192=554
y+192=554
y+192=554
y+192=554
Move all terms not containing y to the right side of the equation.
Subtract 192 from both sides of the equation.
y=554-192
To write -192 as a fraction with a common denominator, multiply by 22.
y=554-192⋅22
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
Multiply 192 and 22.
y=554-19⋅22⋅2
Multiply 2 by 2.
y=554-19⋅24
y=554-19⋅24
Combine the numerators over the common denominator.
y=55-19⋅24
Simplify the numerator.
Multiply -19 by 2.
y=55-384
Subtract 38 from 55.
y=174
y=174
y=174
The result can be shown in multiple forms.
Exact Form:
y=174
Decimal Form:
y=4.25
Mixed Number Form:
y=414
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