2(y-2)-4y=2(y-9)

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Solution for 2(y-2)-4y=2(y-9) equation:


Simplifying
2(y + -2) + -4y = 2(y + -9)

Reorder the terms:
2(-2 + y) + -4y = 2(y + -9)
(-2 * 2 + y * 2) + -4y = 2(y + -9)
(-4 + 2y) + -4y = 2(y + -9)

Combine like terms: 2y + -4y = -2y
-4 + -2y = 2(y + -9)

Reorder the terms:
-4 + -2y = 2(-9 + y)
-4 + -2y = (-9 * 2 + y * 2)
-4 + -2y = (-18 + 2y)

Solving
-4 + -2y = -18 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-4 + -2y + -2y = -18 + 2y + -2y

Combine like terms: -2y + -2y = -4y
-4 + -4y = -18 + 2y + -2y

Combine like terms: 2y + -2y = 0
-4 + -4y = -18 + 0
-4 + -4y = -18

Add '4' to each side of the equation.
-4 + 4 + -4y = -18 + 4

Combine like terms: -4 + 4 = 0
0 + -4y = -18 + 4
-4y = -18 + 4

Combine like terms: -18 + 4 = -14
-4y = -14

Divide each side by '-4'.
y = 3.5

Simplifying
y = 3.5

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