.25*(y+4)=.5*(y+5)

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Solution for .25*(y+4)=.5*(y+5) equation: 


Simplifying
0.25(y + 4) = 0.5(y + 5)

Reorder the terms:
0.25(4 + y) = 0.5(y + 5)
(4 * 0.25 + y * 0.25) = 0.5(y + 5)
(1 + 0.25y) = 0.5(y + 5)

Reorder the terms:
1 + 0.25y = 0.5(5 + y)
1 + 0.25y = (5 * 0.5 + y * 0.5)
1 + 0.25y = (2.5 + 0.5y)

Solving
1 + 0.25y = 2.5 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
1 + 0.25y + -0.5y = 2.5 + 0.5y + -0.5y

Combine like terms: 0.25y + -0.5y = -0.25y
1 + -0.25y = 2.5 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
1 + -0.25y = 2.5 + 0.0
1 + -0.25y = 2.5

Add '-1' to each side of the equation.
1 + -1 + -0.25y = 2.5 + -1

Combine like terms: 1 + -1 = 0
0 + -0.25y = 2.5 + -1
-0.25y = 2.5 + -1

Combine like terms: 2.5 + -1 = 1.5
-0.25y = 1.5

Divide each side by '-0.25'.
y = -6

Simplifying
y = -6

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