4(6-1y-1z)+2y+2z=14

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Solution for 4(6-1y-1z)+2y+2z=14 equation: 


Simplifying
4(6 + -1y + -1z) + 2y + 2z = 14
(6 * 4 + -1y * 4 + -1z * 4) + 2y + 2z = 14
(24 + -4y + -4z) + 2y + 2z = 14

Reorder the terms:
24 + -4y + 2y + -4z + 2z = 14

Combine like terms: -4y + 2y = -2y
24 + -2y + -4z + 2z = 14

Combine like terms: -4z + 2z = -2z
24 + -2y + -2z = 14

Solving
24 + -2y + -2z = 14

Solving for variable 'y'.

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

Add '-24' to each side of the equation.
24 + -2y + -24 + -2z = 14 + -24

Reorder the terms:
24 + -24 + -2y + -2z = 14 + -24

Combine like terms: 24 + -24 = 0
0 + -2y + -2z = 14 + -24
-2y + -2z = 14 + -24

Combine like terms: 14 + -24 = -10
-2y + -2z = -10

Add '2z' to each side of the equation.
-2y + -2z + 2z = -10 + 2z

Combine like terms: -2z + 2z = 0
-2y + 0 = -10 + 2z
-2y = -10 + 2z

Divide each side by '-2'.
y = 5 + -1z

Simplifying
y = 5 + -1z

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