1.5y+6=3y-4

Solution for 1.5y+6=3y-4 equation:

Simplifying
1.5y + 6 = 3y + -4

Reorder the terms:
6 + 1.5y = 3y + -4

Reorder the terms:
6 + 1.5y = -4 + 3y

Solving
6 + 1.5y = -4 + 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 + 1.5y + -3y = -4 + 3y + -3y

Combine like terms: 1.5y + -3y = -1.5y
6 + -1.5y = -4 + 3y + -3y

Combine like terms: 3y + -3y = 0
6 + -1.5y = -4 + 0
6 + -1.5y = -4

Add '-6' to each side of the equation.
6 + -6 + -1.5y = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -1.5y = -4 + -6
-1.5y = -4 + -6

Combine like terms: -4 + -6 = -10
-1.5y = -10

Divide each side by '-1.5'.
y = 6.666666667

Simplifying
y = 6.666666667