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

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


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

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

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

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

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

Combine like terms: 6y + -18y = -12y
1 + -4y = 3 + -12y

Solving
1 + -4y = 3 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
1 + -4y + 12y = 3 + -12y + 12y

Combine like terms: -4y + 12y = 8y
1 + 8y = 3 + -12y + 12y

Combine like terms: -12y + 12y = 0
1 + 8y = 3 + 0
1 + 8y = 3

Add '-1' to each side of the equation.
1 + -1 + 8y = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 8y = 3 + -1
8y = 3 + -1

Combine like terms: 3 + -1 = 2
8y = 2

Divide each side by '8'.
y = 0.25

Simplifying
y = 0.25

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