2(4-4y+2)+11y+4z=23

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Solution for 2(4-4y+2)+11y+4z=23 equation:


Simplifying
2(4 + -4y + 2) + 11y + 4z = 23

Reorder the terms:
2(4 + 2 + -4y) + 11y + 4z = 23

Combine like terms: 4 + 2 = 6
2(6 + -4y) + 11y + 4z = 23
(6 * 2 + -4y * 2) + 11y + 4z = 23
(12 + -8y) + 11y + 4z = 23

Combine like terms: -8y + 11y = 3y
12 + 3y + 4z = 23

Solving
12 + 3y + 4z = 23

Solving for variable 'y'.

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

Add '-12' to each side of the equation.
12 + 3y + -12 + 4z = 23 + -12

Reorder the terms:
12 + -12 + 3y + 4z = 23 + -12

Combine like terms: 12 + -12 = 0
0 + 3y + 4z = 23 + -12
3y + 4z = 23 + -12

Combine like terms: 23 + -12 = 11
3y + 4z = 11

Add '-4z' to each side of the equation.
3y + 4z + -4z = 11 + -4z

Combine like terms: 4z + -4z = 0
3y + 0 = 11 + -4z
3y = 11 + -4z

Divide each side by '3'.
y = 3.666666667 + -1.333333333z

Simplifying
y = 3.666666667 + -1.333333333z

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