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

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


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

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

Combine like terms: 4y + y = 5y
8 + 5y = 2(y + 4) + -4

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

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

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

Solving
8 + 5y = 4 + 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.
8 + 5y + -2y = 4 + 2y + -2y

Combine like terms: 5y + -2y = 3y
8 + 3y = 4 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 3y = 4 + 0
8 + 3y = 4

Add '-8' to each side of the equation.
8 + -8 + 3y = 4 + -8

Combine like terms: 8 + -8 = 0
0 + 3y = 4 + -8
3y = 4 + -8

Combine like terms: 4 + -8 = -4
3y = -4

Divide each side by '3'.
y = -1.333333333

Simplifying
y = -1.333333333

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