2(7y-4.6)+8=3(6y-0.4)

Solution for 2(7y-4.6)+8=3(6y-0.4) equation:

Simplifying
2(7y + -4.6) + 8 = 3(6y + -0.4)

Reorder the terms:
2(-4.6 + 7y) + 8 = 3(6y + -0.4)
(-4.6 * 2 + 7y * 2) + 8 = 3(6y + -0.4)
(-9.2 + 14y) + 8 = 3(6y + -0.4)

Reorder the terms:
-9.2 + 8 + 14y = 3(6y + -0.4)

Combine like terms: -9.2 + 8 = -1.2
-1.2 + 14y = 3(6y + -0.4)

Reorder the terms:
-1.2 + 14y = 3(-0.4 + 6y)
-1.2 + 14y = (-0.4 * 3 + 6y * 3)
-1.2 + 14y = (-1.2 + 18y)

Add '1.2' to each side of the equation.
-1.2 + 1.2 + 14y = -1.2 + 1.2 + 18y

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + 14y = -1.2 + 1.2 + 18y
14y = -1.2 + 1.2 + 18y

Combine like terms: -1.2 + 1.2 = 0.0
14y = 0.0 + 18y
14y = 18y

Solving
14y = 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.
14y + -18y = 18y + -18y

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

Combine like terms: 18y + -18y = 0
-4y = 0

Divide each side by '-4'.
y = 0

Simplifying
y = 0