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

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


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

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

Combine like terms: 6 + 2 = 8
8 + -3y = 1 + -4y

Solving
8 + -3y = 1 + -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.
8 + -3y + 4y = 1 + -4y + 4y

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

Combine like terms: -4y + 4y = 0
8 + 1y = 1 + 0
8 + 1y = 1

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

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

Combine like terms: 1 + -8 = -7
1y = -7

Divide each side by '1'.
y = -7

Simplifying
y = -7

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