2.5y+6=4.5y-1

Solution for 2.5y+6=4.5y-1 equation:

Simplifying
2.5y + 6 = 4.5y + -1

Reorder the terms:
6 + 2.5y = 4.5y + -1

Reorder the terms:
6 + 2.5y = -1 + 4.5y

Solving
6 + 2.5y = -1 + 4.5y

Solving for variable 'y'.

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

Add '-4.5y' to each side of the equation.
6 + 2.5y + -4.5y = -1 + 4.5y + -4.5y

Combine like terms: 2.5y + -4.5y = -2y
6 + -2y = -1 + 4.5y + -4.5y

Combine like terms: 4.5y + -4.5y = 0.0
6 + -2y = -1 + 0.0
6 + -2y = -1

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

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

Combine like terms: -1 + -6 = -7
-2y = -7

Divide each side by '-2'.
y = 3.5

Simplifying
y = 3.5