23=10y

Rewrite the equation as 10y=23.

10y=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.

10⋅3=y⋅2

Rewrite the equation as y⋅2=10⋅3.

y⋅2=10⋅3

Multiply 10 by 3.

y⋅2=30

Divide each term by 2 and simplify.

Divide each term in y⋅2=30 by 2.

y⋅22=302

Cancel the common factor of 2.

Cancel the common factor.

y⋅22=302

Divide y by 1.

y=302

y=302

Divide 30 by 2.

y=15

y=15

y=15

Solve for y 2/3=10/y