y-4=7y+14

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Solution for y-4=7y+14 equation:


Simplifying
y + -4 = 7y + 14

Reorder the terms:
-4 + y = 7y + 14

Reorder the terms:
-4 + y = 14 + 7y

Solving
-4 + y = 14 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-4 + y + -7y = 14 + 7y + -7y

Combine like terms: y + -7y = -6y
-4 + -6y = 14 + 7y + -7y

Combine like terms: 7y + -7y = 0
-4 + -6y = 14 + 0
-4 + -6y = 14

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

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

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

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

Simplifying
y = -3

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