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

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


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

Reorder the terms:
-2(5 + y) = 2y + -8 + 2(6y + 8)
(5 * -2 + y * -2) = 2y + -8 + 2(6y + 8)
(-10 + -2y) = 2y + -8 + 2(6y + 8)

Reorder the terms:
-10 + -2y = 2y + -8 + 2(8 + 6y)
-10 + -2y = 2y + -8 + (8 * 2 + 6y * 2)
-10 + -2y = 2y + -8 + (16 + 12y)

Reorder the terms:
-10 + -2y = -8 + 16 + 2y + 12y

Combine like terms: -8 + 16 = 8
-10 + -2y = 8 + 2y + 12y

Combine like terms: 2y + 12y = 14y
-10 + -2y = 8 + 14y

Solving
-10 + -2y = 8 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
-10 + -2y + -14y = 8 + 14y + -14y

Combine like terms: -2y + -14y = -16y
-10 + -16y = 8 + 14y + -14y

Combine like terms: 14y + -14y = 0
-10 + -16y = 8 + 0
-10 + -16y = 8

Add '10' to each side of the equation.
-10 + 10 + -16y = 8 + 10

Combine like terms: -10 + 10 = 0
0 + -16y = 8 + 10
-16y = 8 + 10

Combine like terms: 8 + 10 = 18
-16y = 18

Divide each side by '-16'.
y = -1.125

Simplifying
y = -1.125

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