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

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

Simplifying
0.2(-1y + 10) + 0.1y = (0.13)(10)

Reorder the terms:
0.2(10 + -1y) + 0.1y = (0.13)(10)
(10 * 0.2 + -1y * 0.2) + 0.1y = (0.13)(10)
(2 + -0.2y) + 0.1y = (0.13)(10)

Combine like terms: -0.2y + 0.1y = -0.1y
2 + -0.1y = (0.13)(10)

Multiply 0.13 * 10
2 + -0.1y = 1.3

Solving
2 + -0.1y = 1.3

Solving for variable 'y'.

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

Add '-2' to each side of the equation.
2 + -2 + -0.1y = 1.3 + -2

Combine like terms: 2 + -2 = 0
0 + -0.1y = 1.3 + -2
-0.1y = 1.3 + -2

Combine like terms: 1.3 + -2 = -0.7
-0.1y = -0.7

Divide each side by '-0.1'.
y = 7

Simplifying
y = 7