8.9y-57=1.5y-12.6

Solution for 8.9y-57=1.5y-12.6 equation:

Simplifying
8.9y + -57 = 1.5y + -12.6

Reorder the terms:
-57 + 8.9y = 1.5y + -12.6

Reorder the terms:
-57 + 8.9y = -12.6 + 1.5y

Solving
-57 + 8.9y = -12.6 + 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.
-57 + 8.9y + -1.5y = -12.6 + 1.5y + -1.5y

Combine like terms: 8.9y + -1.5y = 7.4y
-57 + 7.4y = -12.6 + 1.5y + -1.5y

Combine like terms: 1.5y + -1.5y = 0.0
-57 + 7.4y = -12.6 + 0.0
-57 + 7.4y = -12.6

Add '57' to each side of the equation.
-57 + 57 + 7.4y = -12.6 + 57

Combine like terms: -57 + 57 = 0
0 + 7.4y = -12.6 + 57
7.4y = -12.6 + 57

Combine like terms: -12.6 + 57 = 44.4
7.4y = 44.4

Divide each side by '7.4'.
y = 6

Simplifying
y = 6