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

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


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

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

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

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

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

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

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

Solving for variable 'y'.

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

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

Combine like terms: 5y + 2y = 7y
-5 + 7y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
-5 + 7y = 4 + 0
-5 + 7y = 4

Add '5' to each side of the equation.
-5 + 5 + 7y = 4 + 5

Combine like terms: -5 + 5 = 0
0 + 7y = 4 + 5
7y = 4 + 5

Combine like terms: 4 + 5 = 9
7y = 9

Divide each side by '7'.
y = 1.285714286

Simplifying
y = 1.285714286

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