2(2y-2.4)+3.6=6(3y-0.2)

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Solution for 2(2y-2.4)+3.6=6(3y-0.2) equation:


Simplifying
2(2y + -2.4) + 3.6 = 6(3y + -0.2)

Reorder the terms:
2(-2.4 + 2y) + 3.6 = 6(3y + -0.2)
(-2.4 * 2 + 2y * 2) + 3.6 = 6(3y + -0.2)
(-4.8 + 4y) + 3.6 = 6(3y + -0.2)

Reorder the terms:
-4.8 + 3.6 + 4y = 6(3y + -0.2)

Combine like terms: -4.8 + 3.6 = -1.2
-1.2 + 4y = 6(3y + -0.2)

Reorder the terms:
-1.2 + 4y = 6(-0.2 + 3y)
-1.2 + 4y = (-0.2 * 6 + 3y * 6)
-1.2 + 4y = (-1.2 + 18y)

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 4y = -1.2 + 1.2 + 18y

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 4y = -1.2 + 1.2 + 18y
4y = -1.2 + 1.2 + 18y

Combine like terms: -1.2 + 1.2 = 0.0
4y = 0.0 + 18y
4y = 18y

Solving
4y = 18y

Solving for variable 'y'.

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

Add '-18y' to each side of the equation.
4y + -18y = 18y + -18y

Combine like terms: 4y + -18y = -14y
-14y = 18y + -18y

Combine like terms: 18y + -18y = 0
-14y = 0

Divide each side by '-14'.
y = 0

Simplifying
y = 0

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