-4(y-7)=2y-38

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Solution for -4(y-7)=2y-38 equation:


Simplifying
-4(y + -7) = 2y + -38

Reorder the terms:
-4(-7 + y) = 2y + -38
(-7 * -4 + y * -4) = 2y + -38
(28 + -4y) = 2y + -38

Reorder the terms:
28 + -4y = -38 + 2y

Solving
28 + -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.
28 + -4y + -2y = -38 + 2y + -2y

Combine like terms: -4y + -2y = -6y
28 + -6y = -38 + 2y + -2y

Combine like terms: 2y + -2y = 0
28 + -6y = -38 + 0
28 + -6y = -38

Add '-28' to each side of the equation.
28 + -28 + -6y = -38 + -28

Combine like terms: 28 + -28 = 0
0 + -6y = -38 + -28
-6y = -38 + -28

Combine like terms: -38 + -28 = -66
-6y = -66

Divide each side by '-6'.
y = 11

Simplifying
y = 11

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