2y+1=1.5y+3

Solution for 2y+1=1.5y+3 equation:

Simplifying
2y + 1 = 1.5y + 3

Reorder the terms:
1 + 2y = 1.5y + 3

Reorder the terms:
1 + 2y = 3 + 1.5y

Solving
1 + 2y = 3 + 1.5y

Solving for variable 'y'.

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

Add '-1.5y' to each side of the equation.
1 + 2y + -1.5y = 3 + 1.5y + -1.5y

Combine like terms: 2y + -1.5y = 0.5y
1 + 0.5y = 3 + 1.5y + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
1 + 0.5y = 3 + 0.0
1 + 0.5y = 3

Add '-1' to each side of the equation.
1 + -1 + 0.5y = 3 + -1

Combine like terms: 1 + -1 = 0
0 + 0.5y = 3 + -1
0.5y = 3 + -1

Combine like terms: 3 + -1 = 2
0.5y = 2

Divide each side by '0.5'.
y = 4

Simplifying
y = 4