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

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


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

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

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

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

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

Combine like terms: -3 + 9 = 6
4 + 1y = 6 + 3y

Solving
4 + 1y = 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.
4 + 1y + -3y = 6 + 3y + -3y

Combine like terms: 1y + -3y = -2y
4 + -2y = 6 + 3y + -3y

Combine like terms: 3y + -3y = 0
4 + -2y = 6 + 0
4 + -2y = 6

Add '-4' to each side of the equation.
4 + -4 + -2y = 6 + -4

Combine like terms: 4 + -4 = 0
0 + -2y = 6 + -4
-2y = 6 + -4

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

Divide each side by '-2'.
y = -1

Simplifying
y = -1

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