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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