-3(y-4)=-1(y-5)

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Solution for -3(y-4)=-1(y-5) equation: 


Simplifying
-3(y + -4) = -1(y + -5)

Reorder the terms:
-3(-4 + y) = -1(y + -5)
(-4 * -3 + y * -3) = -1(y + -5)
(12 + -3y) = -1(y + -5)

Reorder the terms:
12 + -3y = -1(-5 + y)
12 + -3y = (-5 * -1 + y * -1)
12 + -3y = (5 + -1y)

Solving
12 + -3y = 5 + -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.
12 + -3y + y = 5 + -1y + y

Combine like terms: -3y + y = -2y
12 + -2y = 5 + -1y + y

Combine like terms: -1y + y = 0
12 + -2y = 5 + 0
12 + -2y = 5

Add '-12' to each side of the equation.
12 + -12 + -2y = 5 + -12

Combine like terms: 12 + -12 = 0
0 + -2y = 5 + -12
-2y = 5 + -12

Combine like terms: 5 + -12 = -7
-2y = -7

Divide each side by '-2'.
y = 3.5

Simplifying
y = 3.5

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