4(y-2)=2(y+7)

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Solution for 4(y-2)=2(y+7) equation:


Simplifying
4(y + -2) = 2(y + 7)

Reorder the terms:
4(-2 + y) = 2(y + 7)
(-2 * 4 + y * 4) = 2(y + 7)
(-8 + 4y) = 2(y + 7)

Reorder the terms:
-8 + 4y = 2(7 + y)
-8 + 4y = (7 * 2 + y * 2)
-8 + 4y = (14 + 2y)

Solving
-8 + 4y = 14 + 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.
-8 + 4y + -2y = 14 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-8 + 2y = 14 + 2y + -2y

Combine like terms: 2y + -2y = 0
-8 + 2y = 14 + 0
-8 + 2y = 14

Add '8' to each side of the equation.
-8 + 8 + 2y = 14 + 8

Combine like terms: -8 + 8 = 0
0 + 2y = 14 + 8
2y = 14 + 8

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

Divide each side by '2'.
y = 11

Simplifying
y = 11

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