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

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

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

Reorder the terms:
3(-0.5 + y) = 4.5 + (y + 1)
(-0.5 * 3 + y * 3) = 4.5 + (y + 1)
(-1.5 + 3y) = 4.5 + (y + 1)

Reorder the terms:
-1.5 + 3y = 4.5 + (1 + y)

Remove parenthesis around (1 + y)
-1.5 + 3y = 4.5 + 1 + y

Combine like terms: 4.5 + 1 = 5.5
-1.5 + 3y = 5.5 + y

Solving
-1.5 + 3y = 5.5 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
-1.5 + 3y + -1y = 5.5 + y + -1y

Combine like terms: 3y + -1y = 2y
-1.5 + 2y = 5.5 + y + -1y

Combine like terms: y + -1y = 0
-1.5 + 2y = 5.5 + 0
-1.5 + 2y = 5.5

Add '1.5' to each side of the equation.
-1.5 + 1.5 + 2y = 5.5 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + 2y = 5.5 + 1.5
2y = 5.5 + 1.5

Combine like terms: 5.5 + 1.5 = 7
2y = 7

Divide each side by '2'.
y = 3.5

Simplifying
y = 3.5