-2.1(y+6)=0.1(y+0.5)

Solution for -2.1(y+6)=0.1(y+0.5) equation:

Simplifying
-2.1(y + 6) = 0.1(y + 0.5)

Reorder the terms:
-2.1(6 + y) = 0.1(y + 0.5)
(6 * -2.1 + y * -2.1) = 0.1(y + 0.5)
(-12.6 + -2.1y) = 0.1(y + 0.5)

Reorder the terms:
-12.6 + -2.1y = 0.1(0.5 + y)
-12.6 + -2.1y = (0.5 * 0.1 + y * 0.1)
-12.6 + -2.1y = (0.05 + 0.1y)

Solving
-12.6 + -2.1y = 0.05 + 0.1y

Solving for variable 'y'.

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

Add '-0.1y' to each side of the equation.
-12.6 + -2.1y + -0.1y = 0.05 + 0.1y + -0.1y

Combine like terms: -2.1y + -0.1y = -2.2y
-12.6 + -2.2y = 0.05 + 0.1y + -0.1y

Combine like terms: 0.1y + -0.1y = 0.0
-12.6 + -2.2y = 0.05 + 0.0
-12.6 + -2.2y = 0.05

Add '12.6' to each side of the equation.
-12.6 + 12.6 + -2.2y = 0.05 + 12.6

Combine like terms: -12.6 + 12.6 = 0.0
0.0 + -2.2y = 0.05 + 12.6
-2.2y = 0.05 + 12.6

Combine like terms: 0.05 + 12.6 = 12.65
-2.2y = 12.65

Divide each side by '-2.2'.
y = -5.75

Simplifying
y = -5.75