0.25(8y+4)-17=-0.5(2y-8)

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Solution for 0.25(8y+4)-17=-0.5(2y-8) equation: 


Simplifying
0.25(8y + 4) + -17 = -0.5(2y + -8)

Reorder the terms:
0.25(4 + 8y) + -17 = -0.5(2y + -8)
(4 * 0.25 + 8y * 0.25) + -17 = -0.5(2y + -8)
(1 + 2y) + -17 = -0.5(2y + -8)

Reorder the terms:
1 + -17 + 2y = -0.5(2y + -8)

Combine like terms: 1 + -17 = -16
-16 + 2y = -0.5(2y + -8)

Reorder the terms:
-16 + 2y = -0.5(-8 + 2y)
-16 + 2y = (-8 * -0.5 + 2y * -0.5)
-16 + 2y = (4 + -1y)

Solving
-16 + 2y = 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.
-16 + 2y + y = 4 + -1y + y

Combine like terms: 2y + y = 3y
-16 + 3y = 4 + -1y + y

Combine like terms: -1y + y = 0
-16 + 3y = 4 + 0
-16 + 3y = 4

Add '16' to each side of the equation.
-16 + 16 + 3y = 4 + 16

Combine like terms: -16 + 16 = 0
0 + 3y = 4 + 16
3y = 4 + 16

Combine like terms: 4 + 16 = 20
3y = 20

Divide each side by '3'.
y = 6.666666667

Simplifying
y = 6.666666667

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