2(2y-.25)=2.5(y+.25)

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Solution for 2(2y-.25)=2.5(y+.25) equation: 


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

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

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

Solving
-0.5 + 4y = 0.625 + 2.5y

Solving for variable 'y'.

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

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

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

Combine like terms: 2.5y + -2.5y = 0.0
-0.5 + 1.5y = 0.625 + 0.0
-0.5 + 1.5y = 0.625

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

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 1.5y = 0.625 + 0.5
1.5y = 0.625 + 0.5

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

Divide each side by '1.5'.
y = 0.75

Simplifying
y = 0.75

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