11-6(6y-1)+3(2+y)=8-3y

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Solution for 11-6(6y-1)+3(2+y)=8-3y equation:


Simplifying
11 + -6(6y + -1) + 3(2 + y) = 8 + -3y

Reorder the terms:
11 + -6(-1 + 6y) + 3(2 + y) = 8 + -3y
11 + (-1 * -6 + 6y * -6) + 3(2 + y) = 8 + -3y
11 + (6 + -36y) + 3(2 + y) = 8 + -3y
11 + 6 + -36y + (2 * 3 + y * 3) = 8 + -3y
11 + 6 + -36y + (6 + 3y) = 8 + -3y

Reorder the terms:
11 + 6 + 6 + -36y + 3y = 8 + -3y

Combine like terms: 11 + 6 = 17
17 + 6 + -36y + 3y = 8 + -3y

Combine like terms: 17 + 6 = 23
23 + -36y + 3y = 8 + -3y

Combine like terms: -36y + 3y = -33y
23 + -33y = 8 + -3y

Solving
23 + -33y = 8 + -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.
23 + -33y + 3y = 8 + -3y + 3y

Combine like terms: -33y + 3y = -30y
23 + -30y = 8 + -3y + 3y

Combine like terms: -3y + 3y = 0
23 + -30y = 8 + 0
23 + -30y = 8

Add '-23' to each side of the equation.
23 + -23 + -30y = 8 + -23

Combine like terms: 23 + -23 = 0
0 + -30y = 8 + -23
-30y = 8 + -23

Combine like terms: 8 + -23 = -15
-30y = -15

Divide each side by '-30'.
y = 0.5

Simplifying
y = 0.5

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