5y+8=7y-6

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Solution for 5y+8=7y-6 equation:


Simplifying
5y + 8 = 7y + -6

Reorder the terms:
8 + 5y = 7y + -6

Reorder the terms:
8 + 5y = -6 + 7y

Solving
8 + 5y = -6 + 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 + 5y + -7y = -6 + 7y + -7y

Combine like terms: 5y + -7y = -2y
8 + -2y = -6 + 7y + -7y

Combine like terms: 7y + -7y = 0
8 + -2y = -6 + 0
8 + -2y = -6

Add '-8' to each side of the equation.
8 + -8 + -2y = -6 + -8

Combine like terms: 8 + -8 = 0
0 + -2y = -6 + -8
-2y = -6 + -8

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

Divide each side by '-2'.
y = 7

Simplifying
y = 7

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