(6y+8)=(7y-12)

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Solution for (6y+8)=(7y-12) equation:


Simplifying
(6y + 8) = (7y + -12)

Reorder the terms:
(8 + 6y) = (7y + -12)

Remove parenthesis around (8 + 6y)
8 + 6y = (7y + -12)

Reorder the terms:
8 + 6y = (-12 + 7y)

Remove parenthesis around (-12 + 7y)
8 + 6y = -12 + 7y

Solving
8 + 6y = -12 + 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.
8 + 6y + -7y = -12 + 7y + -7y

Combine like terms: 6y + -7y = -1y
8 + -1y = -12 + 7y + -7y

Combine like terms: 7y + -7y = 0
8 + -1y = -12 + 0
8 + -1y = -12

Add '-8' to each side of the equation.
8 + -8 + -1y = -12 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = -12 + -8
-1y = -12 + -8

Combine like terms: -12 + -8 = -20
-1y = -20

Divide each side by '-1'.
y = 20

Simplifying
y = 20

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