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

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

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

Reorder the terms:
2(-3 + 2y) = 5(y + -1)
(-3 * 2 + 2y * 2) = 5(y + -1)
(-6 + 4y) = 5(y + -1)

Reorder the terms:
-6 + 4y = 5(-1 + y)
-6 + 4y = (-1 * 5 + y * 5)
-6 + 4y = (-5 + 5y)

Solving
-6 + 4y = -5 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-6 + 4y + -5y = -5 + 5y + -5y

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

Combine like terms: 5y + -5y = 0
-6 + -1y = -5 + 0
-6 + -1y = -5

Add '6' to each side of the equation.
-6 + 6 + -1y = -5 + 6

Combine like terms: -6 + 6 = 0
0 + -1y = -5 + 6
-1y = -5 + 6

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

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

Simplifying
y = -1