0.5y+0.1(y+9)=3

Solution for 0.5y+0.1(y+9)=3 equation:

Simplifying
0.5y + 0.1(y + 9) = 3

Reorder the terms:
0.5y + 0.1(9 + y) = 3
0.5y + (9 * 0.1 + y * 0.1) = 3
0.5y + (0.9 + 0.1y) = 3

Reorder the terms:
0.9 + 0.5y + 0.1y = 3

Combine like terms: 0.5y + 0.1y = 0.6y
0.9 + 0.6y = 3

Solving
0.9 + 0.6y = 3

Solving for variable 'y'.

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

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 0.6y = 3 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 0.6y = 3 + -0.9
0.6y = 3 + -0.9

Combine like terms: 3 + -0.9 = 2.1
0.6y = 2.1

Divide each side by '0.6'.
y = 3.5

Simplifying
y = 3.5