4y-22=2(y-4)

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Solution for 4y-22=2(y-4) equation:


Simplifying
4y + -22 = 2(y + -4)

Reorder the terms:
-22 + 4y = 2(y + -4)

Reorder the terms:
-22 + 4y = 2(-4 + y)
-22 + 4y = (-4 * 2 + y * 2)
-22 + 4y = (-8 + 2y)

Solving
-22 + 4y = -8 + 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.
-22 + 4y + -2y = -8 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-22 + 2y = -8 + 2y + -2y

Combine like terms: 2y + -2y = 0
-22 + 2y = -8 + 0
-22 + 2y = -8

Add '22' to each side of the equation.
-22 + 22 + 2y = -8 + 22

Combine like terms: -22 + 22 = 0
0 + 2y = -8 + 22
2y = -8 + 22

Combine like terms: -8 + 22 = 14
2y = 14

Divide each side by '2'.
y = 7

Simplifying
y = 7

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