.2(-y+.10)+.1y=(13)(10)

Solution for .2(-y+.10)+.1y=(13)(10) equation:

Simplifying
0.2(-1y + 0.10) + 0.1y = (13)(10)

Reorder the terms:
0.2(0.10 + -1y) + 0.1y = (13)(10)
(0.10 * 0.2 + -1y * 0.2) + 0.1y = (13)(10)
(0.02 + -0.2y) + 0.1y = (13)(10)

Combine like terms: -0.2y + 0.1y = -0.1y
0.02 + -0.1y = (13)(10)

Multiply 13 * 10
0.02 + -0.1y = 130

Solving
0.02 + -0.1y = 130

Solving for variable 'y'.

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

Add '-0.02' to each side of the equation.
0.02 + -0.02 + -0.1y = 130 + -0.02

Combine like terms: 0.02 + -0.02 = 0.00
0.00 + -0.1y = 130 + -0.02
-0.1y = 130 + -0.02

Combine like terms: 130 + -0.02 = 129.98
-0.1y = 129.98

Divide each side by '-0.1'.
y = -1299.8

Simplifying
y = -1299.8