3y-5=5y+5

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Solution for 3y-5=5y+5 equation:


Simplifying
3y + -5 = 5y + 5

Reorder the terms:
-5 + 3y = 5y + 5

Reorder the terms:
-5 + 3y = 5 + 5y

Solving
-5 + 3y = 5 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-5 + 3y + -5y = 5 + 5y + -5y

Combine like terms: 3y + -5y = -2y
-5 + -2y = 5 + 5y + -5y

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

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

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

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

Divide each side by '-2'.
y = -5

Simplifying
y = -5

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