-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 = -2y
28 + -2y = 38 + -2y + 2y

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

Add '-28' to each side of the equation.
28 + -28 + -2y = 38 + -28

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

Combine like terms: 38 + -28 = 10
-2y = 10

Divide each side by '-2'.
y = -5

Simplifying
y = -5

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