.25(12+1)=.5(y+2)

Solution for .25(12+1)=.5(y+2) equation:

Simplifying
0.25(12 + 1) = 0.5(y + 2)

Combine like terms: 12 + 1 = 13
0.25(13) = 0.5(y + 2)

Multiply 0.25 * 13
3.25 = 0.5(y + 2)

Reorder the terms:
3.25 = 0.5(2 + y)
3.25 = (2 * 0.5 + y * 0.5)
3.25 = (1 + 0.5y)

Solving
3.25 = 1 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
3.25 + -0.5y = 1 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
3.25 + -0.5y = 1 + 0.0
3.25 + -0.5y = 1

Add '-3.25' to each side of the equation.
3.25 + -3.25 + -0.5y = 1 + -3.25

Combine like terms: 3.25 + -3.25 = 0.00
0.00 + -0.5y = 1 + -3.25
-0.5y = 1 + -3.25

Combine like terms: 1 + -3.25 = -2.25
-0.5y = -2.25

Divide each side by '-0.5'.
y = 4.5

Simplifying
y = 4.5