y-2=.5(y+6)

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


Simplifying
y + -2 = 0.5(y + 6)

Reorder the terms:
-2 + y = 0.5(y + 6)

Reorder the terms:
-2 + y = 0.5(6 + y)
-2 + y = (6 * 0.5 + y * 0.5)
-2 + y = (3 + 0.5y)

Solving
-2 + y = 3 + 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.
-2 + y + -0.5y = 3 + 0.5y + -0.5y

Combine like terms: y + -0.5y = 0.5y
-2 + 0.5y = 3 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
-2 + 0.5y = 3 + 0.0
-2 + 0.5y = 3

Add '2' to each side of the equation.
-2 + 2 + 0.5y = 3 + 2

Combine like terms: -2 + 2 = 0
0 + 0.5y = 3 + 2
0.5y = 3 + 2

Combine like terms: 3 + 2 = 5
0.5y = 5

Divide each side by '0.5'.
y = 10

Simplifying
y = 10

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