1238=56y

Rewrite the equation as 56y=1238.

56y=1238

Multiply the numerator by the reciprocal of the denominator.

56y=12(83)

Cancel the common factor of 3.

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

Multiply each term by y and simplify.

Multiply each term in 56y=32 by y.

56y⋅y=32⋅y

Cancel the common factor of y.

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.

Divide each term in 32y=56 by 32.

32y32=5632

Cancel the common factor of 32.

Cancel the common factor.

32y32=5632

Divide y by 1.

y=5632

y=5632

Cancel the common factor of 56 and 32.

Factor 8 out of 56.

y=8(7)32

Cancel the common factors.

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