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

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Solution for 2(y-1)=5(y-4) equation: 


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

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

Reorder the terms:
-2 + 2y = 5(-4 + y)
-2 + 2y = (-4 * 5 + y * 5)
-2 + 2y = (-20 + 5y)

Solving
-2 + 2y = -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.
-2 + 2y + -5y = -20 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-2 + -3y = -20 + 5y + -5y

Combine like terms: 5y + -5y = 0
-2 + -3y = -20 + 0
-2 + -3y = -20

Add '2' to each side of the equation.
-2 + 2 + -3y = -20 + 2

Combine like terms: -2 + 2 = 0
0 + -3y = -20 + 2
-3y = -20 + 2

Combine like terms: -20 + 2 = -18
-3y = -18

Divide each side by '-3'.
y = 6

Simplifying
y = 6

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