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12-\left(5y+4x\right)=18
Multiply both sides of the equation by 3.
12-5y-4x=18
To find the opposite of 5y+4x, find the opposite of each term.
-5y-4x=18-12
Subtract 12 from both sides.
-5y-4x=6
Subtract 12 from 18 to get 6.
-4x=6+5y
Add 5y to both sides.
-4x=5y+6
The equation is in standard form.
\frac{-4x}{-4}=\frac{5y+6}{-4}
Divide both sides by -4.
x=\frac{5y+6}{-4}
Dividing by -4 undoes the multiplication by -4.
x=-\frac{5y}{4}-\frac{3}{2}
Divide 6+5y by -4.
12-\left(5y+4x\right)=18
Multiply both sides of the equation by 3.
12-5y-4x=18
To find the opposite of 5y+4x, find the opposite of each term.
-5y-4x=18-12
Subtract 12 from both sides.
-5y-4x=6
Subtract 12 from 18 to get 6.
-5y=6+4x
Add 4x to both sides.
-5y=4x+6
The equation is in standard form.
\frac{-5y}{-5}=\frac{4x+6}{-5}
Divide both sides by -5.
y=\frac{4x+6}{-5}
Dividing by -5 undoes the multiplication by -5.
y=\frac{-4x-6}{5}
Divide 6+4x by -5.