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

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

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

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

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

Reorder the terms:
53 = -6 + 1 + 3y + -3y

Combine like terms: -6 + 1 = -5
53 = -5 + 3y + -3y

Combine like terms: 3y + -3y = 0
53 = -5 + 0
53 = -5

Solving
53 = -5

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.