0.2(y-3)+0.05(y-10)=.01

Solution for 0.2(y-3)+0.05(y-10)=.01 equation:

Simplifying
0.2(y + -3) + 0.05(y + -10) = 0.01

Reorder the terms:
0.2(-3 + y) + 0.05(y + -10) = 0.01
(-3 * 0.2 + y * 0.2) + 0.05(y + -10) = 0.01
(-0.6 + 0.2y) + 0.05(y + -10) = 0.01

Reorder the terms:
-0.6 + 0.2y + 0.05(-10 + y) = 0.01
-0.6 + 0.2y + (-10 * 0.05 + y * 0.05) = 0.01
-0.6 + 0.2y + (-0.5 + 0.05y) = 0.01

Reorder the terms:
-0.6 + -0.5 + 0.2y + 0.05y = 0.01

Combine like terms: -0.6 + -0.5 = -1.1
-1.1 + 0.2y + 0.05y = 0.01

Combine like terms: 0.2y + 0.05y = 0.25y
-1.1 + 0.25y = 0.01

Solving
-1.1 + 0.25y = 0.01

Solving for variable 'y'.

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

Add '1.1' to each side of the equation.
-1.1 + 1.1 + 0.25y = 0.01 + 1.1

Combine like terms: -1.1 + 1.1 = 0.0
0.0 + 0.25y = 0.01 + 1.1
0.25y = 0.01 + 1.1

Combine like terms: 0.01 + 1.1 = 1.11
0.25y = 1.11

Divide each side by '0.25'.
y = 4.44

Simplifying
y = 4.44