2(4y-0.25)=3y-0.6(2y-1)

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Solution for 2(4y-0.25)=3y-0.6(2y-1) equation:


Simplifying
2(4y + -0.25) = 3y + -0.6(2y + -1)

Reorder the terms:
2(-0.25 + 4y) = 3y + -0.6(2y + -1)
(-0.25 * 2 + 4y * 2) = 3y + -0.6(2y + -1)
(-0.5 + 8y) = 3y + -0.6(2y + -1)

Reorder the terms:
-0.5 + 8y = 3y + -0.6(-1 + 2y)
-0.5 + 8y = 3y + (-1 * -0.6 + 2y * -0.6)
-0.5 + 8y = 3y + (0.6 + -1.2y)

Reorder the terms:
-0.5 + 8y = 0.6 + 3y + -1.2y

Combine like terms: 3y + -1.2y = 1.8y
-0.5 + 8y = 0.6 + 1.8y

Solving
-0.5 + 8y = 0.6 + 1.8y

Solving for variable 'y'.

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

Add '-1.8y' to each side of the equation.
-0.5 + 8y + -1.8y = 0.6 + 1.8y + -1.8y

Combine like terms: 8y + -1.8y = 6.2y
-0.5 + 6.2y = 0.6 + 1.8y + -1.8y

Combine like terms: 1.8y + -1.8y = 0.0
-0.5 + 6.2y = 0.6 + 0.0
-0.5 + 6.2y = 0.6

Add '0.5' to each side of the equation.
-0.5 + 0.5 + 6.2y = 0.6 + 0.5

Combine like terms: -0.5 + 0.5 = 0.0
0.0 + 6.2y = 0.6 + 0.5
6.2y = 0.6 + 0.5

Combine like terms: 0.6 + 0.5 = 1.1
6.2y = 1.1

Divide each side by '6.2'.
y = 0.1774193548

Simplifying
y = 0.1774193548

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