4y-6=11y+57

Solution for 4y-6=11y+57 equation:

Simplifying
4y + -6 = 11y + 57

Reorder the terms:
-6 + 4y = 11y + 57

Reorder the terms:
-6 + 4y = 57 + 11y

Solving
-6 + 4y = 57 + 11y

Solving for variable 'y'.

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

Add '-11y' to each side of the equation.
-6 + 4y + -11y = 57 + 11y + -11y

Combine like terms: 4y + -11y = -7y
-6 + -7y = 57 + 11y + -11y

Combine like terms: 11y + -11y = 0
-6 + -7y = 57 + 0
-6 + -7y = 57

Add '6' to each side of the equation.
-6 + 6 + -7y = 57 + 6

Combine like terms: -6 + 6 = 0
0 + -7y = 57 + 6
-7y = 57 + 6

Combine like terms: 57 + 6 = 63
-7y = 63

Divide each side by '-7'.
y = -9

Simplifying
y = -9