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x-5z-121=-7y
Subtract 7y from both sides. Anything subtracted from zero gives its negation.
x-121=-7y+5z
Add 5z to both sides.
x=-7y+5z+121
Add 121 to both sides.
7y-5z-121=-x
Subtract x from both sides. Anything subtracted from zero gives its negation.
7y-121=-x+5z
Add 5z to both sides.
7y=-x+5z+121
Add 121 to both sides.
7y=121+5z-x
The equation is in standard form.
\frac{7y}{7}=\frac{121+5z-x}{7}
Divide both sides by 7.
y=\frac{121+5z-x}{7}
Dividing by 7 undoes the multiplication by 7.