2(6y-2.6)+2.4=7(4y-0.4)

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Solution for 2(6y-2.6)+2.4=7(4y-0.4) equation: 


Simplifying
2(6y + -2.6) + 2.4 = 7(4y + -0.4)

Reorder the terms:
2(-2.6 + 6y) + 2.4 = 7(4y + -0.4)
(-2.6 * 2 + 6y * 2) + 2.4 = 7(4y + -0.4)
(-5.2 + 12y) + 2.4 = 7(4y + -0.4)

Reorder the terms:
-5.2 + 2.4 + 12y = 7(4y + -0.4)

Combine like terms: -5.2 + 2.4 = -2.8
-2.8 + 12y = 7(4y + -0.4)

Reorder the terms:
-2.8 + 12y = 7(-0.4 + 4y)
-2.8 + 12y = (-0.4 * 7 + 4y * 7)
-2.8 + 12y = (-2.8 + 28y)

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 12y = -2.8 + 2.8 + 28y

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 12y = -2.8 + 2.8 + 28y
12y = -2.8 + 2.8 + 28y

Combine like terms: -2.8 + 2.8 = 0.0
12y = 0.0 + 28y
12y = 28y

Solving
12y = 28y

Solving for variable 'y'.

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

Add '-28y' to each side of the equation.
12y + -28y = 28y + -28y

Combine like terms: 12y + -28y = -16y
-16y = 28y + -28y

Combine like terms: 28y + -28y = 0
-16y = 0

Divide each side by '-16'.
y = 0

Simplifying
y = 0

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