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5x-8y=4\left(-11\right)
Multiply both sides of the equation by 40, the least common multiple of 8,5,10.
5x-8y=-44
Multiply 4 and -11 to get -44.
5x=-44+8y
Add 8y to both sides.
5x=8y-44
The equation is in standard form.
\frac{5x}{5}=\frac{8y-44}{5}
Divide both sides by 5.
x=\frac{8y-44}{5}
Dividing by 5 undoes the multiplication by 5.
5x-8y=4\left(-11\right)
Multiply both sides of the equation by 40, the least common multiple of 8,5,10.
5x-8y=-44
Multiply 4 and -11 to get -44.
-8y=-44-5x
Subtract 5x from both sides.
-8y=-5x-44
The equation is in standard form.
\frac{-8y}{-8}=\frac{-5x-44}{-8}
Divide both sides by -8.
y=\frac{-5x-44}{-8}
Dividing by -8 undoes the multiplication by -8.
y=\frac{5x}{8}+\frac{11}{2}
Divide -44-5x by -8.