2(y+4)+2=5y-4-36

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Solution for 2(y+4)+2=5y-4-36 equation: 


Simplifying
2(y + 4) + 2 = 5y + -4 + -36

Reorder the terms:
2(4 + y) + 2 = 5y + -4 + -36
(4 * 2 + y * 2) + 2 = 5y + -4 + -36
(8 + 2y) + 2 = 5y + -4 + -36

Reorder the terms:
8 + 2 + 2y = 5y + -4 + -36

Combine like terms: 8 + 2 = 10
10 + 2y = 5y + -4 + -36

Reorder the terms:
10 + 2y = -4 + -36 + 5y

Combine like terms: -4 + -36 = -40
10 + 2y = -40 + 5y

Solving
10 + 2y = -40 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
10 + 2y + -5y = -40 + 5y + -5y

Combine like terms: 2y + -5y = -3y
10 + -3y = -40 + 5y + -5y

Combine like terms: 5y + -5y = 0
10 + -3y = -40 + 0
10 + -3y = -40

Add '-10' to each side of the equation.
10 + -10 + -3y = -40 + -10

Combine like terms: 10 + -10 = 0
0 + -3y = -40 + -10
-3y = -40 + -10

Combine like terms: -40 + -10 = -50
-3y = -50

Divide each side by '-3'.
y = 16.66666667

Simplifying
y = 16.66666667

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