-4.6y-2(2.2y-7.2)=-2.1(y-20)

Solution for -4.6y-2(2.2y-7.2)=-2.1(y-20) equation:

Simplifying
-4.6y + -2(2.2y + -7.2) = -2.1(y + -20)

Reorder the terms:
-4.6y + -2(-7.2 + 2.2y) = -2.1(y + -20)
-4.6y + (-7.2 * -2 + 2.2y * -2) = -2.1(y + -20)
-4.6y + (14.4 + -4.4y) = -2.1(y + -20)

Reorder the terms:
14.4 + -4.6y + -4.4y = -2.1(y + -20)

Combine like terms: -4.6y + -4.4y = -9y
14.4 + -9y = -2.1(y + -20)

Reorder the terms:
14.4 + -9y = -2.1(-20 + y)
14.4 + -9y = (-20 * -2.1 + y * -2.1)
14.4 + -9y = (42 + -2.1y)

Solving
14.4 + -9y = 42 + -2.1y

Solving for variable 'y'.

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

Add '2.1y' to each side of the equation.
14.4 + -9y + 2.1y = 42 + -2.1y + 2.1y

Combine like terms: -9y + 2.1y = -6.9y
14.4 + -6.9y = 42 + -2.1y + 2.1y

Combine like terms: -2.1y + 2.1y = 0.0
14.4 + -6.9y = 42 + 0.0
14.4 + -6.9y = 42

Add '-14.4' to each side of the equation.
14.4 + -14.4 + -6.9y = 42 + -14.4

Combine like terms: 14.4 + -14.4 = 0.0
0.0 + -6.9y = 42 + -14.4
-6.9y = 42 + -14.4

Combine like terms: 42 + -14.4 = 27.6
-6.9y = 27.6

Divide each side by '-6.9'.
y = -4

Simplifying
y = -4