-.8(y-1)=.6(y+6)

Solution for -.8(y-1)=.6(y+6) equation:

Simplifying
-0.8(y + -1) = 0.6(y + 6)

Reorder the terms:
-0.8(-1 + y) = 0.6(y + 6)
(-1 * -0.8 + y * -0.8) = 0.6(y + 6)
(0.8 + -0.8y) = 0.6(y + 6)

Reorder the terms:
0.8 + -0.8y = 0.6(6 + y)
0.8 + -0.8y = (6 * 0.6 + y * 0.6)
0.8 + -0.8y = (3.6 + 0.6y)

Solving
0.8 + -0.8y = 3.6 + 0.6y

Solving for variable 'y'.

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

Add '-0.6y' to each side of the equation.
0.8 + -0.8y + -0.6y = 3.6 + 0.6y + -0.6y

Combine like terms: -0.8y + -0.6y = -1.4y
0.8 + -1.4y = 3.6 + 0.6y + -0.6y

Combine like terms: 0.6y + -0.6y = 0.0
0.8 + -1.4y = 3.6 + 0.0
0.8 + -1.4y = 3.6

Add '-0.8' to each side of the equation.
0.8 + -0.8 + -1.4y = 3.6 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -1.4y = 3.6 + -0.8
-1.4y = 3.6 + -0.8

Combine like terms: 3.6 + -0.8 = 2.8
-1.4y = 2.8

Divide each side by '-1.4'.
y = -2

Simplifying
y = -2