3(26-2y-3z)+2y+z=39

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Solution for 3(26-2y-3z)+2y+z=39 equation:


Simplifying
3(26 + -2y + -3z) + 2y + z = 39
(26 * 3 + -2y * 3 + -3z * 3) + 2y + z = 39
(78 + -6y + -9z) + 2y + z = 39

Reorder the terms:
78 + -6y + 2y + -9z + z = 39

Combine like terms: -6y + 2y = -4y
78 + -4y + -9z + z = 39

Combine like terms: -9z + z = -8z
78 + -4y + -8z = 39

Solving
78 + -4y + -8z = 39

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 + -4y + -78 + -8z = 39 + -78

Reorder the terms:
78 + -78 + -4y + -8z = 39 + -78

Combine like terms: 78 + -78 = 0
0 + -4y + -8z = 39 + -78
-4y + -8z = 39 + -78

Combine like terms: 39 + -78 = -39
-4y + -8z = -39

Add '8z' to each side of the equation.
-4y + -8z + 8z = -39 + 8z

Combine like terms: -8z + 8z = 0
-4y + 0 = -39 + 8z
-4y = -39 + 8z

Divide each side by '-4'.
y = 9.75 + -2z

Simplifying
y = 9.75 + -2z

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