0.5(23-y)=4y+16

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Solution for 0.5(23-y)=4y+16 equation: 


Simplifying
0.5(23 + -1y) = 4y + 16
(23 * 0.5 + -1y * 0.5) = 4y + 16
(11.5 + -0.5y) = 4y + 16

Reorder the terms:
11.5 + -0.5y = 16 + 4y

Solving
11.5 + -0.5y = 16 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
11.5 + -0.5y + -4y = 16 + 4y + -4y

Combine like terms: -0.5y + -4y = -4.5y
11.5 + -4.5y = 16 + 4y + -4y

Combine like terms: 4y + -4y = 0
11.5 + -4.5y = 16 + 0
11.5 + -4.5y = 16

Add '-11.5' to each side of the equation.
11.5 + -11.5 + -4.5y = 16 + -11.5

Combine like terms: 11.5 + -11.5 = 0.0
0.0 + -4.5y = 16 + -11.5
-4.5y = 16 + -11.5

Combine like terms: 16 + -11.5 = 4.5
-4.5y = 4.5

Divide each side by '-4.5'.
y = -1

Simplifying
y = -1

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