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y\times 14+z=22840
Swap sides so that all variable terms are on the left hand side.
y\times 14=22840-z
Subtract z from both sides.
14y=22840-z
The equation is in standard form.
\frac{14y}{14}=\frac{22840-z}{14}
Divide both sides by 14.
y=\frac{22840-z}{14}
Dividing by 14 undoes the multiplication by 14.
y=-\frac{z}{14}+\frac{11420}{7}
Divide 22840-z by 14.
y\times 14+z=22840
Swap sides so that all variable terms are on the left hand side.
z=22840-y\times 14
Subtract y\times 14 from both sides.
z=22840-14y
Multiply -1 and 14 to get -14.