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

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


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

Reorder the terms:
4y + 1 + -3(-1 + -6y) = 4(y + -1)
4y + 1 + (-1 * -3 + -6y * -3) = 4(y + -1)
4y + 1 + (3 + 18y) = 4(y + -1)

Reorder the terms:
1 + 3 + 4y + 18y = 4(y + -1)

Combine like terms: 1 + 3 = 4
4 + 4y + 18y = 4(y + -1)

Combine like terms: 4y + 18y = 22y
4 + 22y = 4(y + -1)

Reorder the terms:
4 + 22y = 4(-1 + y)
4 + 22y = (-1 * 4 + y * 4)
4 + 22y = (-4 + 4y)

Solving
4 + 22y = -4 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
4 + 22y + -4y = -4 + 4y + -4y

Combine like terms: 22y + -4y = 18y
4 + 18y = -4 + 4y + -4y

Combine like terms: 4y + -4y = 0
4 + 18y = -4 + 0
4 + 18y = -4

Add '-4' to each side of the equation.
4 + -4 + 18y = -4 + -4

Combine like terms: 4 + -4 = 0
0 + 18y = -4 + -4
18y = -4 + -4

Combine like terms: -4 + -4 = -8
18y = -8

Divide each side by '18'.
y = -0.4444444444

Simplifying
y = -0.4444444444

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