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

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


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

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

Remove parenthesis around (-7 + 2y)
-7 + 2y = (14 + -2) + 4y

Combine like terms: 14 + -2 = 12
-7 + 2y = (12) + 4y
-7 + 2y = 12 + 4y

Solving
-7 + 2y = 12 + 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.
-7 + 2y + -4y = 12 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-7 + -2y = 12 + 4y + -4y

Combine like terms: 4y + -4y = 0
-7 + -2y = 12 + 0
-7 + -2y = 12

Add '7' to each side of the equation.
-7 + 7 + -2y = 12 + 7

Combine like terms: -7 + 7 = 0
0 + -2y = 12 + 7
-2y = 12 + 7

Combine like terms: 12 + 7 = 19
-2y = 19

Divide each side by '-2'.
y = -9.5

Simplifying
y = -9.5

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