2y-14=-4(y-7)

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Solution for 2y-14=-4(y-7) equation:


Simplifying
2y + -14 = -4(y + -7)

Reorder the terms:
-14 + 2y = -4(y + -7)

Reorder the terms:
-14 + 2y = -4(-7 + y)
-14 + 2y = (-7 * -4 + y * -4)
-14 + 2y = (28 + -4y)

Solving
-14 + 2y = 28 + -4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4y' to each side of the equation.
-14 + 2y + 4y = 28 + -4y + 4y

Combine like terms: 2y + 4y = 6y
-14 + 6y = 28 + -4y + 4y

Combine like terms: -4y + 4y = 0
-14 + 6y = 28 + 0
-14 + 6y = 28

Add '14' to each side of the equation.
-14 + 14 + 6y = 28 + 14

Combine like terms: -14 + 14 = 0
0 + 6y = 28 + 14
6y = 28 + 14

Combine like terms: 28 + 14 = 42
6y = 42

Divide each side by '6'.
y = 7

Simplifying
y = 7

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