Solve for x
x=\frac{2\left(y-6\right)}{5}
Solve for y
y=\frac{5x}{2}+6
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5x+8=2y-4
Swap sides so that all variable terms are on the left hand side.
5x=2y-4-8
Subtract 8 from both sides.
5x=2y-12
Subtract 8 from -4 to get -12.
\frac{5x}{5}=\frac{2y-12}{5}
Divide both sides by 5.
x=\frac{2y-12}{5}
Dividing by 5 undoes the multiplication by 5.
2y=5x+8+4
Add 4 to both sides.
2y=5x+12
Add 8 and 4 to get 12.
\frac{2y}{2}=\frac{5x+12}{2}
Divide both sides by 2.
y=\frac{5x+12}{2}
Dividing by 2 undoes the multiplication by 2.
y=\frac{5x}{2}+6
Divide 5x+12 by 2.
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