5(y-2.36)=.25(10-2y)

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Solution for 5(y-2.36)=.25(10-2y) equation: 


Simplifying
5(y + -2.36) = 0.25(10 + -2y)

Reorder the terms:
5(-2.36 + y) = 0.25(10 + -2y)
(-2.36 * 5 + y * 5) = 0.25(10 + -2y)
(-11.8 + 5y) = 0.25(10 + -2y)
-11.8 + 5y = (10 * 0.25 + -2y * 0.25)
-11.8 + 5y = (2.5 + -0.5y)

Solving
-11.8 + 5y = 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.
-11.8 + 5y + 0.5y = 2.5 + -0.5y + 0.5y

Combine like terms: 5y + 0.5y = 5.5y
-11.8 + 5.5y = 2.5 + -0.5y + 0.5y

Combine like terms: -0.5y + 0.5y = 0.0
-11.8 + 5.5y = 2.5 + 0.0
-11.8 + 5.5y = 2.5

Add '11.8' to each side of the equation.
-11.8 + 11.8 + 5.5y = 2.5 + 11.8

Combine like terms: -11.8 + 11.8 = 0.0
0.0 + 5.5y = 2.5 + 11.8
5.5y = 2.5 + 11.8

Combine like terms: 2.5 + 11.8 = 14.3
5.5y = 14.3

Divide each side by '5.5'.
y = 2.6

Simplifying
y = 2.6

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