2(y+1)+4.5=3(y+0.5)

Solution for 2(y+1)+4.5=3(y+0.5) equation:

Simplifying
2(y + 1) + 4.5 = 3(y + 0.5)

Reorder the terms:
2(1 + y) + 4.5 = 3(y + 0.5)
(1 * 2 + y * 2) + 4.5 = 3(y + 0.5)
(2 + 2y) + 4.5 = 3(y + 0.5)

Reorder the terms:
2 + 4.5 + 2y = 3(y + 0.5)

Combine like terms: 2 + 4.5 = 6.5
6.5 + 2y = 3(y + 0.5)

Reorder the terms:
6.5 + 2y = 3(0.5 + y)
6.5 + 2y = (0.5 * 3 + y * 3)
6.5 + 2y = (1.5 + 3y)

Solving
6.5 + 2y = 1.5 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
6.5 + 2y + -3y = 1.5 + 3y + -3y

Combine like terms: 2y + -3y = -1y
6.5 + -1y = 1.5 + 3y + -3y

Combine like terms: 3y + -3y = 0
6.5 + -1y = 1.5 + 0
6.5 + -1y = 1.5

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -1y = 1.5 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -1y = 1.5 + -6.5
-1y = 1.5 + -6.5

Combine like terms: 1.5 + -6.5 = -5
-1y = -5

Divide each side by '-1'.
y = 5

Simplifying
y = 5