2(6-y)+1=20-(y-12)-2y

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Solution for 2(6-y)+1=20-(y-12)-2y equation:


Simplifying
2(6 + -1y) + 1 = 20 + -1(y + -12) + -2y
(6 * 2 + -1y * 2) + 1 = 20 + -1(y + -12) + -2y
(12 + -2y) + 1 = 20 + -1(y + -12) + -2y

Reorder the terms:
12 + 1 + -2y = 20 + -1(y + -12) + -2y

Combine like terms: 12 + 1 = 13
13 + -2y = 20 + -1(y + -12) + -2y

Reorder the terms:
13 + -2y = 20 + -1(-12 + y) + -2y
13 + -2y = 20 + (-12 * -1 + y * -1) + -2y
13 + -2y = 20 + (12 + -1y) + -2y

Combine like terms: 20 + 12 = 32
13 + -2y = 32 + -1y + -2y

Combine like terms: -1y + -2y = -3y
13 + -2y = 32 + -3y

Solving
13 + -2y = 32 + -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.
13 + -2y + 3y = 32 + -3y + 3y

Combine like terms: -2y + 3y = 1y
13 + 1y = 32 + -3y + 3y

Combine like terms: -3y + 3y = 0
13 + 1y = 32 + 0
13 + 1y = 32

Add '-13' to each side of the equation.
13 + -13 + 1y = 32 + -13

Combine like terms: 13 + -13 = 0
0 + 1y = 32 + -13
1y = 32 + -13

Combine like terms: 32 + -13 = 19
1y = 19

Divide each side by '1'.
y = 19

Simplifying
y = 19

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