# Solve for y 2/3=7/y

23=7y
Rewrite the equation as 7y=23.
7y=23
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
7⋅3=y⋅2
Solve the equation for y.
Rewrite the equation as y⋅2=7⋅3.
y⋅2=7⋅3
Multiply 7 by 3.
y⋅2=21
Divide each term by 2 and simplify.
Divide each term in y⋅2=21 by 2.
y⋅22=212
Cancel the common factor of 2.
Cancel the common factor.
y⋅22=212
Divide y by 1.
y=212
y=212
y=212
y=212
The result can be shown in multiple forms.
Exact Form:
y=212
Decimal Form:
y=10.5
Mixed Number Form:
y=1012
Solve for y 2/3=7/y

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