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

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Solution for 4(y+2)-y=2(y-1)+9 equation:


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

Reorder the terms:
4(2 + y) + -1y = 2(y + -1) + 9
(2 * 4 + y * 4) + -1y = 2(y + -1) + 9
(8 + 4y) + -1y = 2(y + -1) + 9

Combine like terms: 4y + -1y = 3y
8 + 3y = 2(y + -1) + 9

Reorder the terms:
8 + 3y = 2(-1 + y) + 9
8 + 3y = (-1 * 2 + y * 2) + 9
8 + 3y = (-2 + 2y) + 9

Reorder the terms:
8 + 3y = -2 + 9 + 2y

Combine like terms: -2 + 9 = 7
8 + 3y = 7 + 2y

Solving
8 + 3y = 7 + 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.
8 + 3y + -2y = 7 + 2y + -2y

Combine like terms: 3y + -2y = 1y
8 + 1y = 7 + 2y + -2y

Combine like terms: 2y + -2y = 0
8 + 1y = 7 + 0
8 + 1y = 7

Add '-8' to each side of the equation.
8 + -8 + 1y = 7 + -8

Combine like terms: 8 + -8 = 0
0 + 1y = 7 + -8
1y = 7 + -8

Combine like terms: 7 + -8 = -1
1y = -1

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

Simplifying
y = -1

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