4(-y-5)=0.5(8-4y)

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Solution for 4(-y-5)=0.5(8-4y) equation:


Simplifying
4(-1y + -5) = 0.5(8 + -4y)

Reorder the terms:
4(-5 + -1y) = 0.5(8 + -4y)
(-5 * 4 + -1y * 4) = 0.5(8 + -4y)
(-20 + -4y) = 0.5(8 + -4y)
-20 + -4y = (8 * 0.5 + -4y * 0.5)
-20 + -4y = (4 + -2y)

Solving
-20 + -4y = 4 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-20 + -4y + 2y = 4 + -2y + 2y

Combine like terms: -4y + 2y = -2y
-20 + -2y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
-20 + -2y = 4 + 0
-20 + -2y = 4

Add '20' to each side of the equation.
-20 + 20 + -2y = 4 + 20

Combine like terms: -20 + 20 = 0
0 + -2y = 4 + 20
-2y = 4 + 20

Combine like terms: 4 + 20 = 24
-2y = 24

Divide each side by '-2'.
y = -12

Simplifying
y = -12

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