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

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Solution for 2(y-1)=4(y-3) equation:


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

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

Reorder the terms:
-2 + 2y = 4(-3 + y)
-2 + 2y = (-3 * 4 + y * 4)
-2 + 2y = (-12 + 4y)

Solving
-2 + 2y = -12 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
-2 + 2y + -4y = -12 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-2 + -2y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
-2 + -2y = -12 + 0
-2 + -2y = -12

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

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

Combine like terms: -12 + 2 = -10
-2y = -10

Divide each side by '-2'.
y = 5

Simplifying
y = 5

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