-6(y-7)=2y-38

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Solution for -6(y-7)=2y-38 equation:


Simplifying
-6(y + -7) = 2y + -38

Reorder the terms:
-6(-7 + y) = 2y + -38
(-7 * -6 + y * -6) = 2y + -38
(42 + -6y) = 2y + -38

Reorder the terms:
42 + -6y = -38 + 2y

Solving
42 + -6y = -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.
42 + -6y + -2y = -38 + 2y + -2y

Combine like terms: -6y + -2y = -8y
42 + -8y = -38 + 2y + -2y

Combine like terms: 2y + -2y = 0
42 + -8y = -38 + 0
42 + -8y = -38

Add '-42' to each side of the equation.
42 + -42 + -8y = -38 + -42

Combine like terms: 42 + -42 = 0
0 + -8y = -38 + -42
-8y = -38 + -42

Combine like terms: -38 + -42 = -80
-8y = -80

Divide each side by '-8'.
y = 10

Simplifying
y = 10

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