# Solve for y 42/12=21/y

4212=21y
Rewrite the equation as 21y=4212.
21y=4212
Cancel the common factor of 42 and 12.
Factor 6 out of 42.
21y=6(7)12
Cancel the common factors.
Factor 6 out of 12.
21y=6⋅76⋅2
Cancel the common factor.
21y=6⋅76⋅2
Rewrite the expression.
21y=72
21y=72
21y=72
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.
21⋅2=y⋅7
Solve the equation for y.
Rewrite the equation as y⋅7=21⋅2.
y⋅7=21⋅2
Multiply 21 by 2.
y⋅7=42
Divide each term by 7 and simplify.
Divide each term in y⋅7=42 by 7.
y⋅77=427
Cancel the common factor of 7.
Cancel the common factor.
y⋅77=427
Divide y by 1.
y=427
y=427
Divide 42 by 7.
y=6
y=6
y=6
Solve for y 42/12=21/y

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