-2.2(y+14)=.5(y+.5)

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Solution for -2.2(y+14)=.5(y+.5) equation: 


Simplifying
-2.2(y + 14) = 0.5(y + 0.5)

Reorder the terms:
-2.2(14 + y) = 0.5(y + 0.5)
(14 * -2.2 + y * -2.2) = 0.5(y + 0.5)
(-30.8 + -2.2y) = 0.5(y + 0.5)

Reorder the terms:
-30.8 + -2.2y = 0.5(0.5 + y)
-30.8 + -2.2y = (0.5 * 0.5 + y * 0.5)
-30.8 + -2.2y = (0.25 + 0.5y)

Solving
-30.8 + -2.2y = 0.25 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
-30.8 + -2.2y + -0.5y = 0.25 + 0.5y + -0.5y

Combine like terms: -2.2y + -0.5y = -2.7y
-30.8 + -2.7y = 0.25 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
-30.8 + -2.7y = 0.25 + 0.0
-30.8 + -2.7y = 0.25

Add '30.8' to each side of the equation.
-30.8 + 30.8 + -2.7y = 0.25 + 30.8

Combine like terms: -30.8 + 30.8 = 0.0
0.0 + -2.7y = 0.25 + 30.8
-2.7y = 0.25 + 30.8

Combine like terms: 0.25 + 30.8 = 31.05
-2.7y = 31.05

Divide each side by '-2.7'.
y = -11.5

Simplifying
y = -11.5

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