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

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


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

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

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

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

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

Reorder the terms:
-2 + 4y = -3 + -2 + 3y

Combine like terms: -3 + -2 = -5
-2 + 4y = -5 + 3y

Solving
-2 + 4y = -5 + 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.
-2 + 4y + -3y = -5 + 3y + -3y

Combine like terms: 4y + -3y = 1y
-2 + 1y = -5 + 3y + -3y

Combine like terms: 3y + -3y = 0
-2 + 1y = -5 + 0
-2 + 1y = -5

Add '2' to each side of the equation.
-2 + 2 + 1y = -5 + 2

Combine like terms: -2 + 2 = 0
0 + 1y = -5 + 2
1y = -5 + 2

Combine like terms: -5 + 2 = -3
1y = -3

Divide each side by '1'.
y = -3

Simplifying
y = -3

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