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

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


Simplifying
2(y + -6) + -1(y + 2) = 26

Reorder the terms:
2(-6 + y) + -1(y + 2) = 26
(-6 * 2 + y * 2) + -1(y + 2) = 26
(-12 + 2y) + -1(y + 2) = 26

Reorder the terms:
-12 + 2y + -1(2 + y) = 26
-12 + 2y + (2 * -1 + y * -1) = 26
-12 + 2y + (-2 + -1y) = 26

Reorder the terms:
-12 + -2 + 2y + -1y = 26

Combine like terms: -12 + -2 = -14
-14 + 2y + -1y = 26

Combine like terms: 2y + -1y = 1y
-14 + 1y = 26

Solving
-14 + 1y = 26

Solving for variable 'y'.

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

Add '14' to each side of the equation.
-14 + 14 + 1y = 26 + 14

Combine like terms: -14 + 14 = 0
0 + 1y = 26 + 14
1y = 26 + 14

Combine like terms: 26 + 14 = 40
1y = 40

Divide each side by '1'.
y = 40

Simplifying
y = 40

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