57+4(y-6)=3(y+2)-5

Solution for 57+4(y-6)=3(y+2)-5 equation:

Simplifying
57 + 4(y + -6) = 3(y + 2) + -5

Reorder the terms:
57 + 4(-6 + y) = 3(y + 2) + -5
57 + (-6 * 4 + y * 4) = 3(y + 2) + -5
57 + (-24 + 4y) = 3(y + 2) + -5

Combine like terms: 57 + -24 = 33
33 + 4y = 3(y + 2) + -5

Reorder the terms:
33 + 4y = 3(2 + y) + -5
33 + 4y = (2 * 3 + y * 3) + -5
33 + 4y = (6 + 3y) + -5

Reorder the terms:
33 + 4y = 6 + -5 + 3y

Combine like terms: 6 + -5 = 1
33 + 4y = 1 + 3y

Solving
33 + 4y = 1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
33 + 4y + -3y = 1 + 3y + -3y

Combine like terms: 4y + -3y = 1y
33 + 1y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
33 + 1y = 1 + 0
33 + 1y = 1

Add '-33' to each side of the equation.
33 + -33 + 1y = 1 + -33

Combine like terms: 33 + -33 = 0
0 + 1y = 1 + -33
1y = 1 + -33

Combine like terms: 1 + -33 = -32
1y = -32

Divide each side by '1'.
y = -32

Simplifying
y = -32