-[5]y+6=-[12]y+62

Solution for -[5]y+6=-[12]y+62 equation:

Simplifying
-1[5] * y + 6 = -1[12] * y + 62

Multiply -1 * 5
-5y + 6 = -1[12] * y + 62

Reorder the terms:
6 + -5y = -1[12] * y + 62

Multiply -1 * 12
6 + -5y = -12y + 62

Reorder the terms:
6 + -5y = 62 + -12y

Solving
6 + -5y = 62 + -12y

Solving for variable 'y'.

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

Add '12y' to each side of the equation.
6 + -5y + 12y = 62 + -12y + 12y

Combine like terms: -5y + 12y = 7y
6 + 7y = 62 + -12y + 12y

Combine like terms: -12y + 12y = 0
6 + 7y = 62 + 0
6 + 7y = 62

Add '-6' to each side of the equation.
6 + -6 + 7y = 62 + -6

Combine like terms: 6 + -6 = 0
0 + 7y = 62 + -6
7y = 62 + -6

Combine like terms: 62 + -6 = 56
7y = 56

Divide each side by '7'.
y = 8

Simplifying
y = 8