6y+1-3(-2y-1)=2(y-4)

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Solution for 6y+1-3(-2y-1)=2(y-4) equation:


Simplifying
6y + 1 + -3(-2y + -1) = 2(y + -4)

Reorder the terms:
6y + 1 + -3(-1 + -2y) = 2(y + -4)
6y + 1 + (-1 * -3 + -2y * -3) = 2(y + -4)
6y + 1 + (3 + 6y) = 2(y + -4)

Reorder the terms:
1 + 3 + 6y + 6y = 2(y + -4)

Combine like terms: 1 + 3 = 4
4 + 6y + 6y = 2(y + -4)

Combine like terms: 6y + 6y = 12y
4 + 12y = 2(y + -4)

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

Solving
4 + 12y = -8 + 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.
4 + 12y + -2y = -8 + 2y + -2y

Combine like terms: 12y + -2y = 10y
4 + 10y = -8 + 2y + -2y

Combine like terms: 2y + -2y = 0
4 + 10y = -8 + 0
4 + 10y = -8

Add '-4' to each side of the equation.
4 + -4 + 10y = -8 + -4

Combine like terms: 4 + -4 = 0
0 + 10y = -8 + -4
10y = -8 + -4

Combine like terms: -8 + -4 = -12
10y = -12

Divide each side by '10'.
y = -1.2

Simplifying
y = -1.2

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