6(y-1)=5(y-4)

Solution for 6(y-1)=5(y-4) equation:

Simplifying
6(y + -1) = 5(y + -4)

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

Reorder the terms:
-6 + 6y = 5(-4 + y)
-6 + 6y = (-4 * 5 + y * 5)
-6 + 6y = (-20 + 5y)

Solving
-6 + 6y = -20 + 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 + 6y + -5y = -20 + 5y + -5y

Combine like terms: 6y + -5y = 1y
-6 + 1y = -20 + 5y + -5y

Combine like terms: 5y + -5y = 0
-6 + 1y = -20 + 0
-6 + 1y = -20

Add '6' to each side of the equation.
-6 + 6 + 1y = -20 + 6

Combine like terms: -6 + 6 = 0
0 + 1y = -20 + 6
1y = -20 + 6

Combine like terms: -20 + 6 = -14
1y = -14

Divide each side by '1'.
y = -14

Simplifying
y = -14