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

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


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

Reorder the terms:
2(-4 + y) = -1(y + -1)
(-4 * 2 + y * 2) = -1(y + -1)
(-8 + 2y) = -1(y + -1)

Reorder the terms:
-8 + 2y = -1(-1 + y)
-8 + 2y = (-1 * -1 + y * -1)
-8 + 2y = (1 + -1y)

Solving
-8 + 2y = 1 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-8 + 2y + y = 1 + -1y + y

Combine like terms: 2y + y = 3y
-8 + 3y = 1 + -1y + y

Combine like terms: -1y + y = 0
-8 + 3y = 1 + 0
-8 + 3y = 1

Add '8' to each side of the equation.
-8 + 8 + 3y = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 3y = 1 + 8
3y = 1 + 8

Combine like terms: 1 + 8 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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