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

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


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

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

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

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

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

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

Solving
5 + -1y = 4 + -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.
5 + -1y + 3y = 4 + -3y + 3y

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

Combine like terms: -3y + 3y = 0
5 + 2y = 4 + 0
5 + 2y = 4

Add '-5' to each side of the equation.
5 + -5 + 2y = 4 + -5

Combine like terms: 5 + -5 = 0
0 + 2y = 4 + -5
2y = 4 + -5

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

Divide each side by '2'.
y = -0.5

Simplifying
y = -0.5

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