7y-5=2y+10

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


Simplifying
7y + -5 = 2y + 10

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

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

Solving
-5 + 7y = 10 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-5 + 7y + -2y = 10 + 2y + -2y

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

Combine like terms: 2y + -2y = 0
-5 + 5y = 10 + 0
-5 + 5y = 10

Add '5' to each side of the equation.
-5 + 5 + 5y = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 5y = 10 + 5
5y = 10 + 5

Combine like terms: 10 + 5 = 15
5y = 15

Divide each side by '5'.
y = 3

Simplifying
y = 3

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