2(26+-2y+-3z)+3y+z=34

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Solution for 2(26+-2y+-3z)+3y+z=34 equation: 


Simplifying
2(26 + -2y + -3z) + 3y + z = 34
(26 * 2 + -2y * 2 + -3z * 2) + 3y + z = 34
(52 + -4y + -6z) + 3y + z = 34

Reorder the terms:
52 + -4y + 3y + -6z + z = 34

Combine like terms: -4y + 3y = -1y
52 + -1y + -6z + z = 34

Combine like terms: -6z + z = -5z
52 + -1y + -5z = 34

Solving
52 + -1y + -5z = 34

Solving for variable 'y'.

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

Add '-52' to each side of the equation.
52 + -1y + -52 + -5z = 34 + -52

Reorder the terms:
52 + -52 + -1y + -5z = 34 + -52

Combine like terms: 52 + -52 = 0
0 + -1y + -5z = 34 + -52
-1y + -5z = 34 + -52

Combine like terms: 34 + -52 = -18
-1y + -5z = -18

Add '5z' to each side of the equation.
-1y + -5z + 5z = -18 + 5z

Combine like terms: -5z + 5z = 0
-1y + 0 = -18 + 5z
-1y = -18 + 5z

Divide each side by '-1'.
y = 18 + -5z

Simplifying
y = 18 + -5z

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