(2y+4)=4(y+7)-2

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Solution for (2y+4)=4(y+7)-2 equation: 


Simplifying
(2y + 4) = 4(y + 7) + -2

Reorder the terms:
(4 + 2y) = 4(y + 7) + -2

Remove parenthesis around (4 + 2y)
4 + 2y = 4(y + 7) + -2

Reorder the terms:
4 + 2y = 4(7 + y) + -2
4 + 2y = (7 * 4 + y * 4) + -2
4 + 2y = (28 + 4y) + -2

Reorder the terms:
4 + 2y = 28 + -2 + 4y

Combine like terms: 28 + -2 = 26
4 + 2y = 26 + 4y

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

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

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

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

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

Combine like terms: 26 + -4 = 22
-2y = 22

Divide each side by '-2'.
y = -11

Simplifying
y = -11

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