(2+4y)-(y+9)=26

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Solution for (2+4y)-(y+9)=26 equation: 


Simplifying
(2 + 4y) + -1(y + 9) = 26

Remove parenthesis around (2 + 4y)
2 + 4y + -1(y + 9) = 26

Reorder the terms:
2 + 4y + -1(9 + y) = 26
2 + 4y + (9 * -1 + y * -1) = 26
2 + 4y + (-9 + -1y) = 26

Reorder the terms:
2 + -9 + 4y + -1y = 26

Combine like terms: 2 + -9 = -7
-7 + 4y + -1y = 26

Combine like terms: 4y + -1y = 3y
-7 + 3y = 26

Solving
-7 + 3y = 26

Solving for variable 'y'.

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

Add '7' to each side of the equation.
-7 + 7 + 3y = 26 + 7

Combine like terms: -7 + 7 = 0
0 + 3y = 26 + 7
3y = 26 + 7

Combine like terms: 26 + 7 = 33
3y = 33

Divide each side by '3'.
y = 11

Simplifying
y = 11

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