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4-\left(4y+6x\right)=8
Multiply both sides of the equation by 2.
4-4y-6x=8
To find the opposite of 4y+6x, find the opposite of each term.
-4y-6x=8-4
Subtract 4 from both sides.
-4y-6x=4
Subtract 4 from 8 to get 4.
-6x=4+4y
Add 4y to both sides.
-6x=4y+4
The equation is in standard form.
\frac{-6x}{-6}=\frac{4y+4}{-6}
Divide both sides by -6.
x=\frac{4y+4}{-6}
Dividing by -6 undoes the multiplication by -6.
x=\frac{-2y-2}{3}
Divide 4+4y by -6.
4-\left(4y+6x\right)=8
Multiply both sides of the equation by 2.
4-4y-6x=8
To find the opposite of 4y+6x, find the opposite of each term.
-4y-6x=8-4
Subtract 4 from both sides.
-4y-6x=4
Subtract 4 from 8 to get 4.
-4y=4+6x
Add 6x to both sides.
-4y=6x+4
The equation is in standard form.
\frac{-4y}{-4}=\frac{6x+4}{-4}
Divide both sides by -4.
y=\frac{6x+4}{-4}
Dividing by -4 undoes the multiplication by -4.
y=-\frac{3x}{2}-1
Divide 4+6x by -4.