5y-2=7y+10

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Solution for 5y-2=7y+10 equation:


Simplifying
5y + -2 = 7y + 10

Reorder the terms:
-2 + 5y = 7y + 10

Reorder the terms:
-2 + 5y = 10 + 7y

Solving
-2 + 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.
-2 + 5y + -7y = 10 + 7y + -7y

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

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

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

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

Combine like terms: 10 + 2 = 12
-2y = 12

Divide each side by '-2'.
y = -6

Simplifying
y = -6

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