4(8y-3.8)+14.6=3(7y-0.2)

Solution for 4(8y-3.8)+14.6=3(7y-0.2) equation:

Simplifying
4(8y + -3.8) + 14.6 = 3(7y + -0.2)

Reorder the terms:
4(-3.8 + 8y) + 14.6 = 3(7y + -0.2)
(-3.8 * 4 + 8y * 4) + 14.6 = 3(7y + -0.2)
(-15.2 + 32y) + 14.6 = 3(7y + -0.2)

Reorder the terms:
-15.2 + 14.6 + 32y = 3(7y + -0.2)

Combine like terms: -15.2 + 14.6 = -0.6
-0.6 + 32y = 3(7y + -0.2)

Reorder the terms:
-0.6 + 32y = 3(-0.2 + 7y)
-0.6 + 32y = (-0.2 * 3 + 7y * 3)
-0.6 + 32y = (-0.6 + 21y)

Add '0.6' to each side of the equation.
-0.6 + 0.6 + 32y = -0.6 + 0.6 + 21y

Combine like terms: -0.6 + 0.6 = 0.0
0.0 + 32y = -0.6 + 0.6 + 21y
32y = -0.6 + 0.6 + 21y

Combine like terms: -0.6 + 0.6 = 0.0
32y = 0.0 + 21y
32y = 21y

Solving
32y = 21y

Solving for variable 'y'.

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

Add '-21y' to each side of the equation.
32y + -21y = 21y + -21y

Combine like terms: 32y + -21y = 11y
11y = 21y + -21y

Combine like terms: 21y + -21y = 0
11y = 0

Divide each side by '11'.
y = 0

Simplifying
y = 0