.04(y-8)+.16y=.10-.7

Solution for .04(y-8)+.16y=.10-.7 equation:

Simplifying
0.04(y + -8) + 0.16y = 0.10 + -0.7

Reorder the terms:
0.04(-8 + y) + 0.16y = 0.10 + -0.7
(-8 * 0.04 + y * 0.04) + 0.16y = 0.10 + -0.7
(-0.32 + 0.04y) + 0.16y = 0.10 + -0.7

Combine like terms: 0.04y + 0.16y = 0.2y
-0.32 + 0.2y = 0.10 + -0.7

Combine like terms: 0.10 + -0.7 = -0.6
-0.32 + 0.2y = -0.6

Solving
-0.32 + 0.2y = -0.6

Solving for variable 'y'.

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

Add '0.32' to each side of the equation.
-0.32 + 0.32 + 0.2y = -0.6 + 0.32

Combine like terms: -0.32 + 0.32 = 0.00
0.00 + 0.2y = -0.6 + 0.32
0.2y = -0.6 + 0.32

Combine like terms: -0.6 + 0.32 = -0.28
0.2y = -0.28

Divide each side by '0.2'.
y = -1.4

Simplifying
y = -1.4