.25(y+1)=2y-4(y-4)

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Solution for .25(y+1)=2y-4(y-4) equation: 


Simplifying
0.25(y + 1) = 2y + -4(y + -4)

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

Reorder the terms:
0.25 + 0.25y = 2y + -4(-4 + y)
0.25 + 0.25y = 2y + (-4 * -4 + y * -4)
0.25 + 0.25y = 2y + (16 + -4y)

Reorder the terms:
0.25 + 0.25y = 16 + 2y + -4y

Combine like terms: 2y + -4y = -2y
0.25 + 0.25y = 16 + -2y

Solving
0.25 + 0.25y = 16 + -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.
0.25 + 0.25y + 2y = 16 + -2y + 2y

Combine like terms: 0.25y + 2y = 2.25y
0.25 + 2.25y = 16 + -2y + 2y

Combine like terms: -2y + 2y = 0
0.25 + 2.25y = 16 + 0
0.25 + 2.25y = 16

Add '-0.25' to each side of the equation.
0.25 + -0.25 + 2.25y = 16 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 2.25y = 16 + -0.25
2.25y = 16 + -0.25

Combine like terms: 16 + -0.25 = 15.75
2.25y = 15.75

Divide each side by '2.25'.
y = 7

Simplifying
y = 7

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