Solve for y (2/5)÷y=2

Math
25÷y=2
Factor each term.
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Rewrite the division as a fraction.
25y=2
Multiply the numerator by the reciprocal of the denominator.
25⋅1y=2
Multiply 25 and 1y.
25y=2
25y=2
Solve for y.
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Multiply each term by y and simplify.
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Multiply each term in 25y=2 by y.
25y⋅y=2⋅y
Cancel the common factor of y.
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Factor y out of 5y.
2y⋅5⋅y=2⋅y
Cancel the common factor.
2y⋅5⋅y=2⋅y
Rewrite the expression.
25=2⋅y
25=2y
25=2y
Rewrite the equation as 2y=25.
2y=25
Divide each term by 2 and simplify.
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Divide each term in 2y=25 by 2.
2y2=25⋅12
Cancel the common factor of 2.
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Cancel the common factor.
2y2=25⋅12
Divide y by 1.
y=25⋅12
y=25⋅12
Cancel the common factor of 2.
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Cancel the common factor.
y=25⋅12
Rewrite the expression.
y=15
y=15
y=15
y=15
The result can be shown in multiple forms.
Exact Form:
y=15
Decimal Form:
y=0.2
Solve for y (2/5)÷y=2

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