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

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


Simplifying
3(26 + -2y + -3z) + 3y + z = 34
(26 * 3 + -2y * 3 + -3z * 3) + 3y + z = 34
(78 + -6y + -9z) + 3y + z = 34

Reorder the terms:
78 + -6y + 3y + -9z + z = 34

Combine like terms: -6y + 3y = -3y
78 + -3y + -9z + z = 34

Combine like terms: -9z + z = -8z
78 + -3y + -8z = 34

Solving
78 + -3y + -8z = 34

Solving for variable 'y'.

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

Add '-78' to each side of the equation.
78 + -3y + -78 + -8z = 34 + -78

Reorder the terms:
78 + -78 + -3y + -8z = 34 + -78

Combine like terms: 78 + -78 = 0
0 + -3y + -8z = 34 + -78
-3y + -8z = 34 + -78

Combine like terms: 34 + -78 = -44
-3y + -8z = -44

Add '8z' to each side of the equation.
-3y + -8z + 8z = -44 + 8z

Combine like terms: -8z + 8z = 0
-3y + 0 = -44 + 8z
-3y = -44 + 8z

Divide each side by '-3'.
y = 14.66666667 + -2.666666667z

Simplifying
y = 14.66666667 + -2.666666667z

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