3*(y-2)-(y-5)=1

Solution for 3*(y-2)-(y-5)=1 equation:

Simplifying
3(y + -2) + -1(y + -5) = 1

Reorder the terms:
3(-2 + y) + -1(y + -5) = 1
(-2 * 3 + y * 3) + -1(y + -5) = 1
(-6 + 3y) + -1(y + -5) = 1

Reorder the terms:
-6 + 3y + -1(-5 + y) = 1
-6 + 3y + (-5 * -1 + y * -1) = 1
-6 + 3y + (5 + -1y) = 1

Reorder the terms:
-6 + 5 + 3y + -1y = 1

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

Combine like terms: 3y + -1y = 2y
-1 + 2y = 1

Solving
-1 + 2y = 1

Solving for variable 'y'.

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

Add '1' to each side of the equation.
-1 + 1 + 2y = 1 + 1

Combine like terms: -1 + 1 = 0
0 + 2y = 1 + 1
2y = 1 + 1

Combine like terms: 1 + 1 = 2
2y = 2

Divide each side by '2'.
y = 1

Simplifying
y = 1