(y+58)=(5y-6)

Solution for (y+58)=(5y-6) equation:

Simplifying
(y + 58) = (5y + -6)

Reorder the terms:
(58 + y) = (5y + -6)

Remove parenthesis around (58 + y)
58 + y = (5y + -6)

Reorder the terms:
58 + y = (-6 + 5y)

Remove parenthesis around (-6 + 5y)
58 + y = -6 + 5y

Solving
58 + y = -6 + 5y

Solving for variable 'y'.

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

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

Combine like terms: y + -5y = -4y
58 + -4y = -6 + 5y + -5y

Combine like terms: 5y + -5y = 0
58 + -4y = -6 + 0
58 + -4y = -6

Add '-58' to each side of the equation.
58 + -58 + -4y = -6 + -58

Combine like terms: 58 + -58 = 0
0 + -4y = -6 + -58
-4y = -6 + -58

Combine like terms: -6 + -58 = -64
-4y = -64

Divide each side by '-4'.
y = 16

Simplifying
y = 16