.3(25-y)+.05y=.2(25)

Solution for .3(25-y)+.05y=.2(25) equation:

Simplifying
0.3(25 + -1y) + 0.05y = 0.2(25)
(25 * 0.3 + -1y * 0.3) + 0.05y = 0.2(25)
(7.5 + -0.3y) + 0.05y = 0.2(25)

Combine like terms: -0.3y + 0.05y = -0.25y
7.5 + -0.25y = 0.2(25)

Multiply 0.2 * 25
7.5 + -0.25y = 5

Solving
7.5 + -0.25y = 5

Solving for variable 'y'.

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

Add '-7.5' to each side of the equation.
7.5 + -7.5 + -0.25y = 5 + -7.5

Combine like terms: 7.5 + -7.5 = 0.0
0.0 + -0.25y = 5 + -7.5
-0.25y = 5 + -7.5

Combine like terms: 5 + -7.5 = -2.5
-0.25y = -2.5

Divide each side by '-0.25'.
y = 10

Simplifying
y = 10