2(y+1)=3y-2

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


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

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

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

Solving
2 + 2y = -2 + 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 + 2y + -3y = -2 + 3y + -3y

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

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

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

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

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

Divide each side by '-1'.
y = 4

Simplifying
y = 4

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