Solve for y 12/(3/8)=56/y

Math
1238=56y
Rewrite the equation as 56y=1238.
56y=1238
Factor each term.
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Multiply the numerator by the reciprocal of the denominator.
56y=12(83)
Cancel the common factor of 3.
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Factor 3 out of 12.
56y=3(4)83
Cancel the common factor.
56y=3⋅483
Rewrite the expression.
56y=4⋅8
56y=4⋅8
Multiply 4 by 8.
56y=32
56y=32
Solve for y.
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Multiply each term by y and simplify.
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Multiply each term in 56y=32 by y.
56y⋅y=32⋅y
Cancel the common factor of y.
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Cancel the common factor.
56y⋅y=32⋅y
Rewrite the expression.
56=32⋅y
56=32y
56=32y
Rewrite the equation as 32y=56.
32y=56
Divide each term by 32 and simplify.
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Divide each term in 32y=56 by 32.
32y32=5632
Cancel the common factor of 32.
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Cancel the common factor.
32y32=5632
Divide y by 1.
y=5632
y=5632
Cancel the common factor of 56 and 32.
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Factor 8 out of 56.
y=8(7)32
Cancel the common factors.
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Factor 8 out of 32.
y=8⋅78⋅4
Cancel the common factor.
y=8⋅78⋅4
Rewrite the expression.
y=74
y=74
y=74
y=74
y=74
The result can be shown in multiple forms.
Exact Form:
y=74
Decimal Form:
y=1.75
Mixed Number Form:
y=134
Solve for y 12/(3/8)=56/y

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