# Solve for y 3/7y+0.2=1/2

37y+0.2=12
Combine 37 and y.
3y7+0.2=12
Move all terms not containing y to the right side of the equation.
Subtract 0.2 from both sides of the equation.
3y7=12-0.2
To write -0.2 as a fraction with a common denominator, multiply by 22.
3y7=12-0.2⋅22
Combine -0.2 and 22.
3y7=12+-0.2⋅22
Combine the numerators over the common denominator.
3y7=1-0.2⋅22
Simplify the numerator.
Multiply -0.2 by 2.
3y7=1-0.42
Subtract 0.4 from 1.
3y7=0.62
3y7=0.62
Divide 0.6 by 2.
3y7=0.3
3y7=0.3
Multiply both sides of the equation by 73.
73⋅3y7=73⋅0.3
Simplify both sides of the equation.
Simplify 73⋅3y7.
Cancel the common factor of 7.
Cancel the common factor.
73⋅3y7=73⋅0.3
Rewrite the expression.
13⋅(3y)=73⋅0.3
13⋅(3y)=73⋅0.3
Cancel the common factor of 3.
Factor 3 out of 3y.
13⋅(3(y))=73⋅0.3
Cancel the common factor.
13⋅(3y)=73⋅0.3
Rewrite the expression.
y=73⋅0.3
y=73⋅0.3
y=73⋅0.3
Cancel the common factor of 0.3.
Factor 0.3 out of 3.
y=70.3(10)⋅0.3
Cancel the common factor.
y=70.3⋅10⋅0.3
Rewrite the expression.
y=710
y=710
y=710
The result can be shown in multiple forms.
Exact Form:
y=710
Decimal Form:
y=0.7
Solve for y 3/7y+0.2=1/2

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