Solve for y 3/7y+6/14=48/14

Math
37y+614=4814
Simplify each term.
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Combine 37 and y.
3y7+614=4814
Cancel the common factor of 6 and 14.
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Factor 2 out of 6.
3y7+2(3)14=4814
Cancel the common factors.
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Factor 2 out of 14.
3y7+2⋅32⋅7=4814
Cancel the common factor.
3y7+2⋅32⋅7=4814
Rewrite the expression.
3y7+37=4814
3y7+37=4814
3y7+37=4814
3y7+37=4814
Cancel the common factor of 48 and 14.
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Factor 2 out of 48.
3y7+37=2(24)14
Cancel the common factors.
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Factor 2 out of 14.
3y7+37=2⋅242⋅7
Cancel the common factor.
3y7+37=2⋅242⋅7
Rewrite the expression.
3y7+37=247
3y7+37=247
3y7+37=247
Move all terms not containing y to the right side of the equation.
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Subtract 37 from both sides of the equation.
3y7=247-37
Combine the numerators over the common denominator.
3y7=24-37
Subtract 3 from 24.
3y7=217
Divide 21 by 7.
3y7=3
3y7=3
Multiply both sides of the equation by 73.
73⋅3y7=73⋅3
Simplify both sides of the equation.
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Simplify 73⋅3y7.
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Cancel the common factor of 7.
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Cancel the common factor.
73⋅3y7=73⋅3
Rewrite the expression.
13⋅(3y)=73⋅3
13⋅(3y)=73⋅3
Cancel the common factor of 3.
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Factor 3 out of 3y.
13⋅(3(y))=73⋅3
Cancel the common factor.
13⋅(3y)=73⋅3
Rewrite the expression.
y=73⋅3
y=73⋅3
y=73⋅3
Cancel the common factor of 3.
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Cancel the common factor.
y=73⋅3
Rewrite the expression.
y=7
y=7
y=7
Solve for y 3/7y+6/14=48/14

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