5y-6=7y+10

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Solution for 5y-6=7y+10 equation:


Simplifying
5y + -6 = 7y + 10

Reorder the terms:
-6 + 5y = 7y + 10

Reorder the terms:
-6 + 5y = 10 + 7y

Solving
-6 + 5y = 10 + 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.
-6 + 5y + -7y = 10 + 7y + -7y

Combine like terms: 5y + -7y = -2y
-6 + -2y = 10 + 7y + -7y

Combine like terms: 7y + -7y = 0
-6 + -2y = 10 + 0
-6 + -2y = 10

Add '6' to each side of the equation.
-6 + 6 + -2y = 10 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = 10 + 6
-2y = 10 + 6

Combine like terms: 10 + 6 = 16
-2y = 16

Divide each side by '-2'.
y = -8

Simplifying
y = -8

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