3(y-2)-2(3y-1)=53

Solution for 3(y-2)-2(3y-1)=53 equation:

Simplifying
3(y + -2) + -2(3y + -1) = 53

Reorder the terms:
3(-2 + y) + -2(3y + -1) = 53
(-2 * 3 + y * 3) + -2(3y + -1) = 53
(-6 + 3y) + -2(3y + -1) = 53

Reorder the terms:
-6 + 3y + -2(-1 + 3y) = 53
-6 + 3y + (-1 * -2 + 3y * -2) = 53
-6 + 3y + (2 + -6y) = 53

Reorder the terms:
-6 + 2 + 3y + -6y = 53

Combine like terms: -6 + 2 = -4
-4 + 3y + -6y = 53

Combine like terms: 3y + -6y = -3y
-4 + -3y = 53

Solving
-4 + -3y = 53

Solving for variable 'y'.

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

Add '4' to each side of the equation.
-4 + 4 + -3y = 53 + 4

Combine like terms: -4 + 4 = 0
0 + -3y = 53 + 4
-3y = 53 + 4

Combine like terms: 53 + 4 = 57
-3y = 57

Divide each side by '-3'.
y = -19

Simplifying
y = -19