(4y-2)+(4-2y)=30

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Solution for (4y-2)+(4-2y)=30 equation: 


Simplifying
(4y + -2) + (4 + -2y) = 30

Reorder the terms:
(-2 + 4y) + (4 + -2y) = 30

Remove parenthesis around (-2 + 4y)
-2 + 4y + (4 + -2y) = 30

Remove parenthesis around (4 + -2y)
-2 + 4y + 4 + -2y = 30

Reorder the terms:
-2 + 4 + 4y + -2y = 30

Combine like terms: -2 + 4 = 2
2 + 4y + -2y = 30

Combine like terms: 4y + -2y = 2y
2 + 2y = 30

Solving
2 + 2y = 30

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + 2y = 30 + -2

Combine like terms: 2 + -2 = 0
0 + 2y = 30 + -2
2y = 30 + -2

Combine like terms: 30 + -2 = 28
2y = 28

Divide each side by '2'.
y = 14

Simplifying
y = 14

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