6+8(2y+4)=(y+4)-26

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Solution for 6+8(2y+4)=(y+4)-26 equation: 


Simplifying
6 + 8(2y + 4) = (y + 4) + -26

Reorder the terms:
6 + 8(4 + 2y) = (y + 4) + -26
6 + (4 * 8 + 2y * 8) = (y + 4) + -26
6 + (32 + 16y) = (y + 4) + -26

Combine like terms: 6 + 32 = 38
38 + 16y = (y + 4) + -26

Reorder the terms:
38 + 16y = (4 + y) + -26

Remove parenthesis around (4 + y)
38 + 16y = 4 + y + -26

Reorder the terms:
38 + 16y = 4 + -26 + y

Combine like terms: 4 + -26 = -22
38 + 16y = -22 + y

Solving
38 + 16y = -22 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
38 + 16y + -1y = -22 + y + -1y

Combine like terms: 16y + -1y = 15y
38 + 15y = -22 + y + -1y

Combine like terms: y + -1y = 0
38 + 15y = -22 + 0
38 + 15y = -22

Add '-38' to each side of the equation.
38 + -38 + 15y = -22 + -38

Combine like terms: 38 + -38 = 0
0 + 15y = -22 + -38
15y = -22 + -38

Combine like terms: -22 + -38 = -60
15y = -60

Divide each side by '15'.
y = -4

Simplifying
y = -4

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