-2.82=6(1.5y-0.5)

Solution for -2.82=6(1.5y-0.5) equation:

Simplifying
-2.82 = 6(1.5y + -0.5)

Reorder the terms:
-2.82 = 6(-0.5 + 1.5y)
-2.82 = (-0.5 * 6 + 1.5y * 6)
-2.82 = (-3 + 9y)

Solving
-2.82 = -3 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
-2.82 + -9y = -3 + 9y + -9y

Combine like terms: 9y + -9y = 0
-2.82 + -9y = -3 + 0
-2.82 + -9y = -3

Add '2.82' to each side of the equation.
-2.82 + 2.82 + -9y = -3 + 2.82

Combine like terms: -2.82 + 2.82 = 0.00
0.00 + -9y = -3 + 2.82
-9y = -3 + 2.82

Combine like terms: -3 + 2.82 = -0.18
-9y = -0.18

Divide each side by '-9'.
y = 0.02

Simplifying
y = 0.02