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4x+y=0
Combine 3x and x to get 4x.
4x=-y
Subtract y from both sides. Anything subtracted from zero gives its negation.
\frac{4x}{4}=-\frac{y}{4}
Divide both sides by 4.
x=-\frac{y}{4}
Dividing by 4 undoes the multiplication by 4.
4x+y=0
Combine 3x and x to get 4x.
y=-4x
Subtract 4x from both sides. Anything subtracted from zero gives its negation.