7-2(y-7)=4y-8

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Solution for 7-2(y-7)=4y-8 equation: 


Simplifying
7 + -2(y + -7) = 4y + -8

Reorder the terms:
7 + -2(-7 + y) = 4y + -8
7 + (-7 * -2 + y * -2) = 4y + -8
7 + (14 + -2y) = 4y + -8

Combine like terms: 7 + 14 = 21
21 + -2y = 4y + -8

Reorder the terms:
21 + -2y = -8 + 4y

Solving
21 + -2y = -8 + 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.
21 + -2y + -4y = -8 + 4y + -4y

Combine like terms: -2y + -4y = -6y
21 + -6y = -8 + 4y + -4y

Combine like terms: 4y + -4y = 0
21 + -6y = -8 + 0
21 + -6y = -8

Add '-21' to each side of the equation.
21 + -21 + -6y = -8 + -21

Combine like terms: 21 + -21 = 0
0 + -6y = -8 + -21
-6y = -8 + -21

Combine like terms: -8 + -21 = -29
-6y = -29

Divide each side by '-6'.
y = 4.833333333

Simplifying
y = 4.833333333

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