4(0.5y+0.25)-0.75y=8(0.25y+0.50)

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Solution for 4(0.5y+0.25)-0.75y=8(0.25y+0.50) equation:


Simplifying
4(0.5y + 0.25) + -0.75y = 8(0.25y + 0.50)

Reorder the terms:
4(0.25 + 0.5y) + -0.75y = 8(0.25y + 0.50)
(0.25 * 4 + 0.5y * 4) + -0.75y = 8(0.25y + 0.50)
(1 + 2y) + -0.75y = 8(0.25y + 0.50)

Combine like terms: 2y + -0.75y = 1.25y
1 + 1.25y = 8(0.25y + 0.50)

Reorder the terms:
1 + 1.25y = 8(0.50 + 0.25y)
1 + 1.25y = (0.50 * 8 + 0.25y * 8)
1 + 1.25y = (4 + 2y)

Solving
1 + 1.25y = 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.
1 + 1.25y + -2y = 4 + 2y + -2y

Combine like terms: 1.25y + -2y = -0.75y
1 + -0.75y = 4 + 2y + -2y

Combine like terms: 2y + -2y = 0
1 + -0.75y = 4 + 0
1 + -0.75y = 4

Add '-1' to each side of the equation.
1 + -1 + -0.75y = 4 + -1

Combine like terms: 1 + -1 = 0
0 + -0.75y = 4 + -1
-0.75y = 4 + -1

Combine like terms: 4 + -1 = 3
-0.75y = 3

Divide each side by '-0.75'.
y = -4

Simplifying
y = -4

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