(y+10z+100x)=(z+10y+100x)-27

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Solution for (y+10z+100x)=(z+10y+100x)-27 equation: 


Simplifying
(y + 10z + 100x) = (z + 10y + 100x) + -27

Reorder the terms:
(100x + y + 10z) = (z + 10y + 100x) + -27

Remove parenthesis around (100x + y + 10z)
100x + y + 10z = (z + 10y + 100x) + -27

Reorder the terms:
100x + y + 10z = (100x + 10y + z) + -27

Remove parenthesis around (100x + 10y + z)
100x + y + 10z = 100x + 10y + z + -27

Reorder the terms:
100x + y + 10z = -27 + 100x + 10y + z

Add '-100x' to each side of the equation.
100x + y + -100x + 10z = -27 + 100x + 10y + -100x + z

Reorder the terms:
100x + -100x + y + 10z = -27 + 100x + 10y + -100x + z

Combine like terms: 100x + -100x = 0
0 + y + 10z = -27 + 100x + 10y + -100x + z
y + 10z = -27 + 100x + 10y + -100x + z

Reorder the terms:
y + 10z = -27 + 100x + -100x + 10y + z

Combine like terms: 100x + -100x = 0
y + 10z = -27 + 0 + 10y + z
y + 10z = -27 + 10y + z

Solving
y + 10z = -27 + 10y + z

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-10y' to each side of the equation.
y + -10y + 10z = -27 + 10y + -10y + z

Combine like terms: y + -10y = -9y
-9y + 10z = -27 + 10y + -10y + z

Combine like terms: 10y + -10y = 0
-9y + 10z = -27 + 0 + z
-9y + 10z = -27 + z

Add '-10z' to each side of the equation.
-9y + 10z + -10z = -27 + z + -10z

Combine like terms: 10z + -10z = 0
-9y + 0 = -27 + z + -10z
-9y = -27 + z + -10z

Combine like terms: z + -10z = -9z
-9y = -27 + -9z

Divide each side by '-9'.
y = 3 + z

Simplifying
y = 3 + z

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