4(y-6)=2y-38

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Solution for 4(y-6)=2y-38 equation: 


Simplifying
4(y + -6) = 2y + -38

Reorder the terms:
4(-6 + y) = 2y + -38
(-6 * 4 + y * 4) = 2y + -38
(-24 + 4y) = 2y + -38

Reorder the terms:
-24 + 4y = -38 + 2y

Solving
-24 + 4y = -38 + 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.
-24 + 4y + -2y = -38 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-24 + 2y = -38 + 2y + -2y

Combine like terms: 2y + -2y = 0
-24 + 2y = -38 + 0
-24 + 2y = -38

Add '24' to each side of the equation.
-24 + 24 + 2y = -38 + 24

Combine like terms: -24 + 24 = 0
0 + 2y = -38 + 24
2y = -38 + 24

Combine like terms: -38 + 24 = -14
2y = -14

Divide each side by '2'.
y = -7

Simplifying
y = -7

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