2(y+2)-2=3(y-1)+9

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Solution for 2(y+2)-2=3(y-1)+9 equation: 


Simplifying
2(y + 2) + -2 = 3(y + -1) + 9

Reorder the terms:
2(2 + y) + -2 = 3(y + -1) + 9
(2 * 2 + y * 2) + -2 = 3(y + -1) + 9
(4 + 2y) + -2 = 3(y + -1) + 9

Reorder the terms:
4 + -2 + 2y = 3(y + -1) + 9

Combine like terms: 4 + -2 = 2
2 + 2y = 3(y + -1) + 9

Reorder the terms:
2 + 2y = 3(-1 + y) + 9
2 + 2y = (-1 * 3 + y * 3) + 9
2 + 2y = (-3 + 3y) + 9

Reorder the terms:
2 + 2y = -3 + 9 + 3y

Combine like terms: -3 + 9 = 6
2 + 2y = 6 + 3y

Solving
2 + 2y = 6 + 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 = 6 + 3y + -3y

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

Combine like terms: 3y + -3y = 0
2 + -1y = 6 + 0
2 + -1y = 6

Add '-2' to each side of the equation.
2 + -2 + -1y = 6 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 6 + -2
-1y = 6 + -2

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

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

Simplifying
y = -4

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