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

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

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

Reorder the terms:
3(-0.5 + y) + -4.5 = 2(y + 1)
(-0.5 * 3 + y * 3) + -4.5 = 2(y + 1)
(-1.5 + 3y) + -4.5 = 2(y + 1)

Reorder the terms:
-1.5 + -4.5 + 3y = 2(y + 1)

Combine like terms: -1.5 + -4.5 = -6
-6 + 3y = 2(y + 1)

Reorder the terms:
-6 + 3y = 2(1 + y)
-6 + 3y = (1 * 2 + y * 2)
-6 + 3y = (2 + 2y)

Solving
-6 + 3y = 2 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-6 + 3y + -2y = 2 + 2y + -2y

Combine like terms: 3y + -2y = 1y
-6 + 1y = 2 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + 1y = 2 + 0
-6 + 1y = 2

Add '6' to each side of the equation.
-6 + 6 + 1y = 2 + 6

Combine like terms: -6 + 6 = 0
0 + 1y = 2 + 6
1y = 2 + 6

Combine like terms: 2 + 6 = 8
1y = 8

Divide each side by '1'.
y = 8

Simplifying
y = 8