Solve for m 12(1/2m-1/4y)=12(9/4)

Math
12(12m-14y)=12(94)
Simplify.
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Simplify each term.
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Combine 12 and m.
12(m2-14y)=12(94)
Combine y and 14.
12(m2-y4)=12(94)
12(m2-y4)=12(94)
Apply the distributive property.
12m2+12(-y4)=12(94)
Cancel the common factor of 2.
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Factor 2 out of 12.
2(6)m2+12(-y4)=12(94)
Cancel the common factor.
2⋅6m2+12(-y4)=12(94)
Rewrite the expression.
6m+12(-y4)=12(94)
6m+12(-y4)=12(94)
Cancel the common factor of 4.
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Move the leading negative in -y4 into the numerator.
6m+12-y4=12(94)
Factor 4 out of 12.
6m+4(3)-y4=12(94)
Cancel the common factor.
6m+4⋅3-y4=12(94)
Rewrite the expression.
6m+3(-y)=12(94)
6m+3(-y)=12(94)
Multiply -1 by 3.
6m-3y=12(94)
Cancel the common factor of 4.
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Factor 4 out of 12.
6m-3y=4(3)94
Cancel the common factor.
6m-3y=4⋅394
Rewrite the expression.
6m-3y=3⋅9
6m-3y=3⋅9
Multiply 3 by 9.
6m-3y=27
6m-3y=27
Divide each term by 12 and simplify.
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Divide each term in 6m-3y=27 by 12.
6m-3y12=2712
Cancel the common factor of 6m-3y and 12.
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Factor 3 out of 6m.
3(2m)-3y12=2712
Factor 3 out of -3y.
3(2m)+3(-y)12=2712
Factor 3 out of 3(2m)+3(-y).
3(2m-y)12=2712
Cancel the common factors.
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Factor 3 out of 12.
3(2m-y)3(4)=2712
Cancel the common factor.
3(2m-y)3⋅4=2712
Rewrite the expression.
2m-y4=2712
2m-y4=2712
2m-y4=2712
Cancel the common factor of 27 and 12.
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Factor 3 out of 27.
2m-y4=3(9)12
Cancel the common factors.
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Factor 3 out of 12.
2m-y4=3⋅93⋅4
Cancel the common factor.
2m-y4=3⋅93⋅4
Rewrite the expression.
2m-y4=94
2m-y4=94
2m-y4=94
2m-y4=94
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
2m-y=9
Add y to both sides of the equation.
2m=9+y
Divide each term by 2 and simplify.
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Divide each term in 2m=9+y by 2.
2m2=92+y2
Cancel the common factor of 2.
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Cancel the common factor.
2m2=92+y2
Divide m by 1.
m=92+y2
m=92+y2
m=92+y2
Solve for m 12(1/2m-1/4y)=12(9/4)

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