2[3-(y-2)]+4=4(4-y)+10

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Solution for 2[3-(y-2)]+4=4(4-y)+10 equation: 


Simplifying
2[3 + -1(y + -2)] + 4 = 4(4 + -1y) + 10

Reorder the terms:
2[3 + -1(-2 + y)] + 4 = 4(4 + -1y) + 10
2[3 + (-2 * -1 + y * -1)] + 4 = 4(4 + -1y) + 10
2[3 + (2 + -1y)] + 4 = 4(4 + -1y) + 10

Combine like terms: 3 + 2 = 5
2[5 + -1y] + 4 = 4(4 + -1y) + 10
[5 * 2 + -1y * 2] + 4 = 4(4 + -1y) + 10
[10 + -2y] + 4 = 4(4 + -1y) + 10

Reorder the terms:
10 + 4 + -2y = 4(4 + -1y) + 10

Combine like terms: 10 + 4 = 14
14 + -2y = 4(4 + -1y) + 10
14 + -2y = (4 * 4 + -1y * 4) + 10
14 + -2y = (16 + -4y) + 10

Reorder the terms:
14 + -2y = 16 + 10 + -4y

Combine like terms: 16 + 10 = 26
14 + -2y = 26 + -4y

Solving
14 + -2y = 26 + -4y

Solving for variable 'y'.

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

Add '4y' to each side of the equation.
14 + -2y + 4y = 26 + -4y + 4y

Combine like terms: -2y + 4y = 2y
14 + 2y = 26 + -4y + 4y

Combine like terms: -4y + 4y = 0
14 + 2y = 26 + 0
14 + 2y = 26

Add '-14' to each side of the equation.
14 + -14 + 2y = 26 + -14

Combine like terms: 14 + -14 = 0
0 + 2y = 26 + -14
2y = 26 + -14

Combine like terms: 26 + -14 = 12
2y = 12

Divide each side by '2'.
y = 6

Simplifying
y = 6

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