36=2y+2(y+6)

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Solution for 36=2y+2(y+6) equation:


Simplifying
36 = 2y + 2(y + 6)

Reorder the terms:
36 = 2y + 2(6 + y)
36 = 2y + (6 * 2 + y * 2)
36 = 2y + (12 + 2y)

Reorder the terms:
36 = 12 + 2y + 2y

Combine like terms: 2y + 2y = 4y
36 = 12 + 4y

Solving
36 = 12 + 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.
36 + -4y = 12 + 4y + -4y

Combine like terms: 4y + -4y = 0
36 + -4y = 12 + 0
36 + -4y = 12

Add '-36' to each side of the equation.
36 + -36 + -4y = 12 + -36

Combine like terms: 36 + -36 = 0
0 + -4y = 12 + -36
-4y = 12 + -36

Combine like terms: 12 + -36 = -24
-4y = -24

Divide each side by '-4'.
y = 6

Simplifying
y = 6

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