1012=40y

Rewrite the equation as 40y=1012.

40y=1012

Factor 2 out of 10.

40y=2(5)12

Cancel the common factors.

Factor 2 out of 12.

40y=2⋅52⋅6

Cancel the common factor.

40y=2⋅52⋅6

Rewrite the expression.

40y=56

40y=56

40y=56

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.

40⋅6=y⋅5

Rewrite the equation as y⋅5=40⋅6.

y⋅5=40⋅6

Multiply 40 by 6.

y⋅5=240

Divide each term by 5 and simplify.

Divide each term in y⋅5=240 by 5.

y⋅55=2405

Cancel the common factor of 5.

Cancel the common factor.

y⋅55=2405

Divide y by 1.

y=2405

y=2405

Divide 240 by 5.

y=48

y=48

y=48

Solve for y 10/12=40/y