4.6+0.2y-y=13

Solution for 4.6+0.2y-y=13 equation:

Simplifying
4.6 + 0.2y + -1y = 13

Combine like terms: 0.2y + -1y = -0.8y
4.6 + -0.8y = 13

Solving
4.6 + -0.8y = 13

Solving for variable 'y'.

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

Add '-4.6' to each side of the equation.
4.6 + -4.6 + -0.8y = 13 + -4.6

Combine like terms: 4.6 + -4.6 = 0.0
0.0 + -0.8y = 13 + -4.6
-0.8y = 13 + -4.6

Combine like terms: 13 + -4.6 = 8.4
-0.8y = 8.4

Divide each side by '-0.8'.
y = -10.5

Simplifying
y = -10.5