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

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


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

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

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

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

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

Reorder the terms:
26 = 4 + -2 + y + y + y

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

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

Combine like terms: 2y + y = 3y
26 = 2 + 3y

Solving
26 = 2 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
26 + -3y = 2 + 3y + -3y

Combine like terms: 3y + -3y = 0
26 + -3y = 2 + 0
26 + -3y = 2

Add '-26' to each side of the equation.
26 + -26 + -3y = 2 + -26

Combine like terms: 26 + -26 = 0
0 + -3y = 2 + -26
-3y = 2 + -26

Combine like terms: 2 + -26 = -24
-3y = -24

Divide each side by '-3'.
y = 8

Simplifying
y = 8

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