2y-12=4(y-5)

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Solution for 2y-12=4(y-5) equation:


Simplifying
2y + -12 = 4(y + -5)

Reorder the terms:
-12 + 2y = 4(y + -5)

Reorder the terms:
-12 + 2y = 4(-5 + y)
-12 + 2y = (-5 * 4 + y * 4)
-12 + 2y = (-20 + 4y)

Solving
-12 + 2y = -20 + 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.
-12 + 2y + -4y = -20 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-12 + -2y = -20 + 4y + -4y

Combine like terms: 4y + -4y = 0
-12 + -2y = -20 + 0
-12 + -2y = -20

Add '12' to each side of the equation.
-12 + 12 + -2y = -20 + 12

Combine like terms: -12 + 12 = 0
0 + -2y = -20 + 12
-2y = -20 + 12

Combine like terms: -20 + 12 = -8
-2y = -8

Divide each side by '-2'.
y = 4

Simplifying
y = 4

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