2(y-7)=8y+4

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


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

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

Reorder the terms:
-14 + 2y = 4 + 8y

Solving
-14 + 2y = 4 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-14 + 2y + -8y = 4 + 8y + -8y

Combine like terms: 2y + -8y = -6y
-14 + -6y = 4 + 8y + -8y

Combine like terms: 8y + -8y = 0
-14 + -6y = 4 + 0
-14 + -6y = 4

Add '14' to each side of the equation.
-14 + 14 + -6y = 4 + 14

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

Combine like terms: 4 + 14 = 18
-6y = 18

Divide each side by '-6'.
y = -3

Simplifying
y = -3

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