-7y+6=33y-2

Solution for -7y+6=33y-2 equation:

Simplifying
-7y + 6 = 33y + -2

Reorder the terms:
6 + -7y = 33y + -2

Reorder the terms:
6 + -7y = -2 + 33y

Solving
6 + -7y = -2 + 33y

Solving for variable 'y'.

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

Add '-33y' to each side of the equation.
6 + -7y + -33y = -2 + 33y + -33y

Combine like terms: -7y + -33y = -40y
6 + -40y = -2 + 33y + -33y

Combine like terms: 33y + -33y = 0
6 + -40y = -2 + 0
6 + -40y = -2

Add '-6' to each side of the equation.
6 + -6 + -40y = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -40y = -2 + -6
-40y = -2 + -6

Combine like terms: -2 + -6 = -8
-40y = -8

Divide each side by '-40'.
y = 0.2

Simplifying
y = 0.2