2.5(y+0.25)=2(2y-0.25)

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Solution for 2.5(y+0.25)=2(2y-0.25) equation: 


Simplifying
2.5(y + 0.25) = 2(2y + -0.25)

Reorder the terms:
2.5(0.25 + y) = 2(2y + -0.25)
(0.25 * 2.5 + y * 2.5) = 2(2y + -0.25)
(0.625 + 2.5y) = 2(2y + -0.25)

Reorder the terms:
0.625 + 2.5y = 2(-0.25 + 2y)
0.625 + 2.5y = (-0.25 * 2 + 2y * 2)
0.625 + 2.5y = (-0.5 + 4y)

Solving
0.625 + 2.5y = -0.5 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
0.625 + 2.5y + -4y = -0.5 + 4y + -4y

Combine like terms: 2.5y + -4y = -1.5y
0.625 + -1.5y = -0.5 + 4y + -4y

Combine like terms: 4y + -4y = 0
0.625 + -1.5y = -0.5 + 0
0.625 + -1.5y = -0.5

Add '-0.625' to each side of the equation.
0.625 + -0.625 + -1.5y = -0.5 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + -1.5y = -0.5 + -0.625
-1.5y = -0.5 + -0.625

Combine like terms: -0.5 + -0.625 = -1.125
-1.5y = -1.125

Divide each side by '-1.5'.
y = 0.75

Simplifying
y = 0.75

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