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Solve for x
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\left(x\times 0.9+\frac{7x}{7}\times 0.1\right)\times 0.6+95\times 0.1+95\times 0.3=y
Cancel out 7 and 7.
\left(x\times 0.9+x\times 0.1\right)\times 0.6+95\times 0.1+95\times 0.3=y
Cancel out 7 and 7.
x\times 0.6+95\times 0.1+95\times 0.3=y
Combine x\times 0.9 and x\times 0.1 to get x.
x\times 0.6+9.5+95\times 0.3=y
Multiply 95 and 0.1 to get 9.5.
x\times 0.6+9.5+28.5=y
Multiply 95 and 0.3 to get 28.5.
x\times 0.6+38=y
Add 9.5 and 28.5 to get 38.
x\times 0.6=y-38
Subtract 38 from both sides.
0.6x=y-38
The equation is in standard form.
\frac{0.6x}{0.6}=\frac{y-38}{0.6}
Divide both sides of the equation by 0.6, which is the same as multiplying both sides by the reciprocal of the fraction.
x=\frac{y-38}{0.6}
Dividing by 0.6 undoes the multiplication by 0.6.
x=\frac{5y-190}{3}
Divide y-38 by 0.6 by multiplying y-38 by the reciprocal of 0.6.
\left(x\times 0.9+\frac{7x}{7}\times 0.1\right)\times 0.6+95\times 0.1+95\times 0.3=y
Cancel out 7 and 7.
\left(x\times 0.9+x\times 0.1\right)\times 0.6+95\times 0.1+95\times 0.3=y
Cancel out 7 and 7.
x\times 0.6+95\times 0.1+95\times 0.3=y
Combine x\times 0.9 and x\times 0.1 to get x.
x\times 0.6+9.5+95\times 0.3=y
Multiply 95 and 0.1 to get 9.5.
x\times 0.6+9.5+28.5=y
Multiply 95 and 0.3 to get 28.5.
x\times 0.6+38=y
Add 9.5 and 28.5 to get 38.
y=x\times 0.6+38
Swap sides so that all variable terms are on the left hand side.