3y+5=5y-7

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Solution for 3y+5=5y-7 equation:


Simplifying
3y + 5 = 5y + -7

Reorder the terms:
5 + 3y = 5y + -7

Reorder the terms:
5 + 3y = -7 + 5y

Solving
5 + 3y = -7 + 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 = -7 + 5y + -5y

Combine like terms: 3y + -5y = -2y
5 + -2y = -7 + 5y + -5y

Combine like terms: 5y + -5y = 0
5 + -2y = -7 + 0
5 + -2y = -7

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

Combine like terms: 5 + -5 = 0
0 + -2y = -7 + -5
-2y = -7 + -5

Combine like terms: -7 + -5 = -12
-2y = -12

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

Simplifying
y = 6

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