11-3(y-4)=8+2(1-y)

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Solution for 11-3(y-4)=8+2(1-y) equation: 


Simplifying
11 + -3(y + -4) = 8 + 2(1 + -1y)

Reorder the terms:
11 + -3(-4 + y) = 8 + 2(1 + -1y)
11 + (-4 * -3 + y * -3) = 8 + 2(1 + -1y)
11 + (12 + -3y) = 8 + 2(1 + -1y)

Combine like terms: 11 + 12 = 23
23 + -3y = 8 + 2(1 + -1y)
23 + -3y = 8 + (1 * 2 + -1y * 2)
23 + -3y = 8 + (2 + -2y)

Combine like terms: 8 + 2 = 10
23 + -3y = 10 + -2y

Solving
23 + -3y = 10 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
23 + -3y + 2y = 10 + -2y + 2y

Combine like terms: -3y + 2y = -1y
23 + -1y = 10 + -2y + 2y

Combine like terms: -2y + 2y = 0
23 + -1y = 10 + 0
23 + -1y = 10

Add '-23' to each side of the equation.
23 + -23 + -1y = 10 + -23

Combine like terms: 23 + -23 = 0
0 + -1y = 10 + -23
-1y = 10 + -23

Combine like terms: 10 + -23 = -13
-1y = -13

Divide each side by '-1'.
y = 13

Simplifying
y = 13

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