4(y+2)-6y=-(y+8)-5

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Solution for 4(y+2)-6y=-(y+8)-5 equation: 


Simplifying
4(y + 2) + -6y = -1(y + 8) + -5

Reorder the terms:
4(2 + y) + -6y = -1(y + 8) + -5
(2 * 4 + y * 4) + -6y = -1(y + 8) + -5
(8 + 4y) + -6y = -1(y + 8) + -5

Combine like terms: 4y + -6y = -2y
8 + -2y = -1(y + 8) + -5

Reorder the terms:
8 + -2y = -1(8 + y) + -5
8 + -2y = (8 * -1 + y * -1) + -5
8 + -2y = (-8 + -1y) + -5

Reorder the terms:
8 + -2y = -8 + -5 + -1y

Combine like terms: -8 + -5 = -13
8 + -2y = -13 + -1y

Solving
8 + -2y = -13 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
8 + -2y + y = -13 + -1y + y

Combine like terms: -2y + y = -1y
8 + -1y = -13 + -1y + y

Combine like terms: -1y + y = 0
8 + -1y = -13 + 0
8 + -1y = -13

Add '-8' to each side of the equation.
8 + -8 + -1y = -13 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = -13 + -8
-1y = -13 + -8

Combine like terms: -13 + -8 = -21
-1y = -21

Divide each side by '-1'.
y = 21

Simplifying
y = 21

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