5y+7=6y-6

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


Simplifying
5y + 7 = 6y + -6

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

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

Solving
7 + 5y = -6 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
7 + 5y + -6y = -6 + 6y + -6y

Combine like terms: 5y + -6y = -1y
7 + -1y = -6 + 6y + -6y

Combine like terms: 6y + -6y = 0
7 + -1y = -6 + 0
7 + -1y = -6

Add '-7' to each side of the equation.
7 + -7 + -1y = -6 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = -6 + -7
-1y = -6 + -7

Combine like terms: -6 + -7 = -13
-1y = -13

Divide each side by '-1'.
y = 13

Simplifying
y = 13

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