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10x-150=-4.34y
Subtract 4.34y from both sides. Anything subtracted from zero gives its negation.
10x=-4.34y+150
Add 150 to both sides.
10x=-\frac{217y}{50}+150
The equation is in standard form.
\frac{10x}{10}=\frac{-\frac{217y}{50}+150}{10}
Divide both sides by 10.
x=\frac{-\frac{217y}{50}+150}{10}
Dividing by 10 undoes the multiplication by 10.
x=-\frac{217y}{500}+15
Divide -\frac{217y}{50}+150 by 10.
4.34y-150=-10x
Subtract 10x from both sides. Anything subtracted from zero gives its negation.
4.34y=-10x+150
Add 150 to both sides.
4.34y=150-10x
The equation is in standard form.
\frac{4.34y}{4.34}=\frac{150-10x}{4.34}
Divide both sides of the equation by 4.34, which is the same as multiplying both sides by the reciprocal of the fraction.
y=\frac{150-10x}{4.34}
Dividing by 4.34 undoes the multiplication by 4.34.
y=\frac{7500-500x}{217}
Divide -10x+150 by 4.34 by multiplying -10x+150 by the reciprocal of 4.34.