.5(y+12)=-2.5y-8

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Solution for .5(y+12)=-2.5y-8 equation: 


Simplifying
0.5(y + 12) = -2.5y + -8

Reorder the terms:
0.5(12 + y) = -2.5y + -8
(12 * 0.5 + y * 0.5) = -2.5y + -8
(6 + 0.5y) = -2.5y + -8

Reorder the terms:
6 + 0.5y = -8 + -2.5y

Solving
6 + 0.5y = -8 + -2.5y

Solving for variable 'y'.

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

Add '2.5y' to each side of the equation.
6 + 0.5y + 2.5y = -8 + -2.5y + 2.5y

Combine like terms: 0.5y + 2.5y = 3y
6 + 3y = -8 + -2.5y + 2.5y

Combine like terms: -2.5y + 2.5y = 0.0
6 + 3y = -8 + 0.0
6 + 3y = -8

Add '-6' to each side of the equation.
6 + -6 + 3y = -8 + -6

Combine like terms: 6 + -6 = 0
0 + 3y = -8 + -6
3y = -8 + -6

Combine like terms: -8 + -6 = -14
3y = -14

Divide each side by '3'.
y = -4.666666667

Simplifying
y = -4.666666667

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