06(2y-6)-5y=0.4(3y-4)

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Solution for 06(2y-6)-5y=0.4(3y-4) equation:


Simplifying
6(2y + -6) + -5y = 0.4(3y + -4)

Reorder the terms:
6(-6 + 2y) + -5y = 0.4(3y + -4)
(-6 * 6 + 2y * 6) + -5y = 0.4(3y + -4)
(-36 + 12y) + -5y = 0.4(3y + -4)

Combine like terms: 12y + -5y = 7y
-36 + 7y = 0.4(3y + -4)

Reorder the terms:
-36 + 7y = 0.4(-4 + 3y)
-36 + 7y = (-4 * 0.4 + 3y * 0.4)
-36 + 7y = (-1.6 + 1.2y)

Solving
-36 + 7y = -1.6 + 1.2y

Solving for variable 'y'.

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

Add '-1.2y' to each side of the equation.
-36 + 7y + -1.2y = -1.6 + 1.2y + -1.2y

Combine like terms: 7y + -1.2y = 5.8y
-36 + 5.8y = -1.6 + 1.2y + -1.2y

Combine like terms: 1.2y + -1.2y = 0.0
-36 + 5.8y = -1.6 + 0.0
-36 + 5.8y = -1.6

Add '36' to each side of the equation.
-36 + 36 + 5.8y = -1.6 + 36

Combine like terms: -36 + 36 = 0
0 + 5.8y = -1.6 + 36
5.8y = -1.6 + 36

Combine like terms: -1.6 + 36 = 34.4
5.8y = 34.4

Divide each side by '5.8'.
y = 5.931034483

Simplifying
y = 5.931034483

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