2y-8=4(y-3)

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Solution for 2y-8=4(y-3) equation:


Simplifying
2y + -8 = 4(y + -3)

Reorder the terms:
-8 + 2y = 4(y + -3)

Reorder the terms:
-8 + 2y = 4(-3 + y)
-8 + 2y = (-3 * 4 + y * 4)
-8 + 2y = (-12 + 4y)

Solving
-8 + 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.
-8 + 2y + -4y = -12 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-8 + -2y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
-8 + -2y = -12 + 0
-8 + -2y = -12

Add '8' to each side of the equation.
-8 + 8 + -2y = -12 + 8

Combine like terms: -8 + 8 = 0
0 + -2y = -12 + 8
-2y = -12 + 8

Combine like terms: -12 + 8 = -4
-2y = -4

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

Simplifying
y = 2

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