# Solve for y 10/12=40/y

1012=40y
Rewrite the equation as 40y=1012.
40y=1012
Cancel the common factor of 10 and 12.
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
Solve the equation for y.
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

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