(-17.5-2.5y+0.5z)-3y+4z=31

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Solution for (-17.5-2.5y+0.5z)-3y+4z=31 equation: 


Simplifying
(-17.5 + -2.5y + 0.5z) + -3y + 4z = 31

Remove parenthesis around (-17.5 + -2.5y + 0.5z)
-17.5 + -2.5y + 0.5z + -3y + 4z = 31

Reorder the terms:
-17.5 + -2.5y + -3y + 0.5z + 4z = 31

Combine like terms: -2.5y + -3y = -5.5y
-17.5 + -5.5y + 0.5z + 4z = 31

Combine like terms: 0.5z + 4z = 4.5z
-17.5 + -5.5y + 4.5z = 31

Solving
-17.5 + -5.5y + 4.5z = 31

Solving for variable 'y'.

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

Add '17.5' to each side of the equation.
-17.5 + -5.5y + 17.5 + 4.5z = 31 + 17.5

Reorder the terms:
-17.5 + 17.5 + -5.5y + 4.5z = 31 + 17.5

Combine like terms: -17.5 + 17.5 = 0.0
0.0 + -5.5y + 4.5z = 31 + 17.5
-5.5y + 4.5z = 31 + 17.5

Combine like terms: 31 + 17.5 = 48.5
-5.5y + 4.5z = 48.5

Add '-4.5z' to each side of the equation.
-5.5y + 4.5z + -4.5z = 48.5 + -4.5z

Combine like terms: 4.5z + -4.5z = 0.0
-5.5y + 0.0 = 48.5 + -4.5z
-5.5y = 48.5 + -4.5z

Divide each side by '-5.5'.
y = -8.818181818 + 0.8181818182z

Simplifying
y = -8.818181818 + 0.8181818182z

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