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

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


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

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

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

Reorder the terms:
-2 + -6 + 2y + 3y = 2

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

Combine like terms: 2y + 3y = 5y
-8 + 5y = 2

Solving
-8 + 5y = 2

Solving for variable 'y'.

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

Add '8' to each side of the equation.
-8 + 8 + 5y = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 5y = 2 + 8
5y = 2 + 8

Combine like terms: 2 + 8 = 10
5y = 10

Divide each side by '5'.
y = 2

Simplifying
y = 2

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