0.25(4y-8)=-0.50(2y+8)

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Solution for 0.25(4y-8)=-0.50(2y+8) equation: 


Simplifying
0.25(4y + -8) = -0.50(2y + 8)

Reorder the terms:
0.25(-8 + 4y) = -0.50(2y + 8)
(-8 * 0.25 + 4y * 0.25) = -0.50(2y + 8)
(-2 + 1y) = -0.50(2y + 8)

Reorder the terms:
-2 + 1y = -0.50(8 + 2y)
-2 + 1y = (8 * -0.50 + 2y * -0.50)
-2 + 1y = (-4 + -1y)

Solving
-2 + 1y = -4 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-2 + 1y + y = -4 + -1y + y

Combine like terms: 1y + y = 2y
-2 + 2y = -4 + -1y + y

Combine like terms: -1y + y = 0
-2 + 2y = -4 + 0
-2 + 2y = -4

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

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

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

Divide each side by '2'.
y = -1

Simplifying
y = -1

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