34-(2y-2)=2(y+2)+4

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Solution for 34-(2y-2)=2(y+2)+4 equation: 


Simplifying
34 + -1(2y + -2) = 2(y + 2) + 4

Reorder the terms:
34 + -1(-2 + 2y) = 2(y + 2) + 4
34 + (-2 * -1 + 2y * -1) = 2(y + 2) + 4
34 + (2 + -2y) = 2(y + 2) + 4

Combine like terms: 34 + 2 = 36
36 + -2y = 2(y + 2) + 4

Reorder the terms:
36 + -2y = 2(2 + y) + 4
36 + -2y = (2 * 2 + y * 2) + 4
36 + -2y = (4 + 2y) + 4

Reorder the terms:
36 + -2y = 4 + 4 + 2y

Combine like terms: 4 + 4 = 8
36 + -2y = 8 + 2y

Solving
36 + -2y = 8 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
36 + -2y + -2y = 8 + 2y + -2y

Combine like terms: -2y + -2y = -4y
36 + -4y = 8 + 2y + -2y

Combine like terms: 2y + -2y = 0
36 + -4y = 8 + 0
36 + -4y = 8

Add '-36' to each side of the equation.
36 + -36 + -4y = 8 + -36

Combine like terms: 36 + -36 = 0
0 + -4y = 8 + -36
-4y = 8 + -36

Combine like terms: 8 + -36 = -28
-4y = -28

Divide each side by '-4'.
y = 7

Simplifying
y = 7

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